Persons: Popov Vladimir Leonidovich

Persons: Popov Vladimir Leonidovich http://www.mathnet.ru/php/person.phtml?&personid=8935&option_la...

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Popov Vladimir Leonidovich Total publications: 158 (128) in MathSciNet: 93 (78) Corresponding member of RAS in zbMATH: 72 (60) Professor in Web of Science: 39 (36) in Scopus: 35 (35) Doctor of physico-mathematical sciences Cited articles: 73 (1984) Citations in Math-Net.Ru: 332 Speciality: 01.01.06 (Mathematical logic, algebra, and Citations in MathSciNet (by Sep 2017): 1119 number theory) Citations in Web of Science: 298 Citations in Scopus: 169 Birth date: 3.09.1946 Presentations: 87 Phone: +7 (495) 941 01 79 Fax: +7 (495) 984 81 39 Number of views: This page: 15812 E-mail: [email protected], [email protected] Abstract pages: 13305 Website: http://researchgate.net/profile Full texts: 3875 /Vladimir_Popov12 References: 849 Keywords: Algebraic group, Lie group, Lie algebra, algebraic variety, action, representation, algebra, invariant, covariant, orbit, homogeneous space, automorphism group of algebraic variety, Cremona group, discrete reflection group, lattice. UDC: 512.7, 512.745, 512.745.4, 512.743, 512.747, 512.76, 512.77, 512.71, 512.812, 512.813, 512, 519.4 MSC: 14l30, 14l24, 14l35, 15a72, 14l40, 14l10, 14l15, 14l17, 14m17, 14m20, 20G05, 15A72

Subject: Algebraic transformation groups; invariant theory; algebraic groups, Lie groups, Lie algebras and their representations; algebraic geometry; automorphism groups of algebraic varieties; discrete reflection groups

Biography Graduated from Mathematics and Mechanics Faculty of Moscow State University Lomonosov (MSU) (Department of High Algebra) in 1969. PhD (Candidate of Physics and Mathematics) (1972). Habilitation (Doctor of Physics and Mathematics) (1984). Full Professor (1986). Chair of Algebra and Mathematical Logic at Moscow State University MIEM (1995–2012; half-time since 2002). Since 2012 Professor at Department of Applied Mathematics of MIEM-HSE (part time). Since January 2002 Leading Research Fellow, and since May 2017 Principal Research Fellow at the Steklov Mathematical Institute, Russian Academy of Sciences (main place of work).

Executive Managing Editor of the journal "Transformation Groups" published by Birkhäuser Boston (1996–present). Member of the Editorial Boards of the journals: "Izvestiya: Mathematics" (2006–present) and "Mathematical Notes" (2003–present) published by Russian Academy of Sciences, "Journal of Mathematical Sciences" published by Springer (2001–present), "Geometriae Dedicata" published by Kluwer (1989–1999). Founder and Title Editor of the series "Invariant Theory and Algebraic Transformation Groups" of Encyclopaedia of Mathematical Sciences published by Springer (1998–present).

Invited speaker at the International Congress of Mathematicians, Berkeley, USA (1986). The results of 1982–1983 are the subject of J. Dixmier's talk at Séminaire N. Bourbaki (J. Dixmier, Quelques résults de finitude en théorie des invariants (d'après V. L. Popov), Séminaire Bourbaki, 38ème année 1985–86, no. 659, pp. 163–175).

Core member of the panel for Section 2, "Algebra" of the Program Committee for the 2010 International Congress of Mathematicians (2008–2010).

Fellow of the American Mathematical Society (elected in November 2012), see http://www.ams.org/profession/fellows-list-institution

Corresponding Member of the Russian Academy of Sciences (elected in October 2016).

Invited plenary speaker at the XVth Austrian–German Mathematical Congress (Ősterreichische Mathematische Gesellschaft–XV Kongress, Jahrestagung der Deutschen Mathematiker-vereinigung), Vienna, 2001.

Honorable International John-von-Neumann Professur awarded by Technische Universität

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München, Germany (2008). Invited Noted Scholar, Heidelberg University, Germany (1998–1999). Invited Noted Scholar, the University of British Columbia, Vancouver, Canada (1996).

Invited speaker at the international colloquia and conferences in Russia, France, UK, Italy, Germany, USA, Canada, Japan, Switzerland, Israel, Netherlands, Belgium, Spain, Norway, Sweden, India, Australia, Singapore, Hungary, Poland, Argentina, Uruguay, in particular, at Colloque en l'honneur de J. Dixmier (Paris, 1989), at the International Conference commemorating 150th birthday of Sophus Lie (Oslo, 1992), at Special Sessions of the Annual American Mathematical Society meetings in Chicago (1995) and Louisville, USA (1998), at the International Colloquium "Algebra, Arithmetic and Geometry" (Tata Institute, Bombay, 2000), at the International Conference commemorating 80th birthday of B. Kostant" (Vancouver, 2008).

Honorable Colligwood Lecture at Durham University, UK (2007).

Delivered courses "Invariant Theory", "Discrete Groups Generated by Complex Reflections", "Algebraic Transformation Groups and Singularities of Algebraic Varieties", "Algebraic Groups", "Algebraic Geometry" at the invitation of several leading mathematical centers in Germany (Heidelberg University, TUM), Switzerland (ETH Zürich), Netherlands (University of Utrecht), USA (University of Michigan), Canada (UBC), Austria (The Erwin Schrödinger Institute, Innsbruck University), Australia (Sydney University), Sweden (Lund University).

Executive Managing Editor of the journal Transformation Groups (1996--present), Birkhäuser Boston. Member of the Editorial Boards of Izvestiya Mathematics (2006--present), Mathematical Notes (2003--present), Journal of Mathematical Sciences (2001--present), Springer, European Mathematical Society Newsletter (since January 2015), EMS, Geometriae Dedicata (1989--1999), Kl\"uwer. Founder and title Editor of the subseries "Invariant Theory and Algebraic Transformation Groups" of Encyclopaedia of Mathematical Sciences, Springer (1998--present).

Member, Board of Moscow Mathematical Society (1998–2000).

More than 150 publications, among them 4 monographs, 1 textbook and the papers published in Annals of Mathematics, Journal of the American Mathematical Society, Compositio Mathematica, Transformation Groups, Izvestiya: Mathematics, Sbornik: Mathematics, Journal fur die reine und angewandte Mathematik, Commentarii Mathematici Helvetici, Contemporary Mathematics, Journal of Algebra, Functional Analysis and Its Applications, Comptes Rendus de l'Academie des Sciences Paris, Transactions of the Moscow Mathematical Society, Indagationes Mathematicae, Mathematical Notes, Russian Mathematical Surveys, Journal of the Ramanujan Mathematical Society, Documenta Mathematica, Pacific Journal of Mathematics, European Journal of Mathematics. The results are included in many monographs and textbooks (D. Mumford, J. Fogarty, Geometric Invariant Theory; H. Kraft, Geometrische Methoden in der Invariantentheorie; H. Derksen, G. Kemper, Computational Invariant Theory; F. Grosshans, Algebraic Homogeneous Spaces and Invariant Theory; H. Kraft, P. Slodowy, T. A. Springer, Algebraic Transformation Groups and Invariant Theory; W. F. Santos, A. Rittatore, Actions and Invariants of Algebraic Groups; B. Sturmfels, Algorithms in Invariant Theory; G. Freudenburg, Algebraic Theory of Locally Nilpotent Derivations; M. Lorenz, Multiplicative Invariant Theory; E. A. Tevelev, Projective Duality and Homogeneous Spaces and the others).

Organizer of several international conferences, in particular, "Semester on Algebraic Transformation Groups" at The Erwin Schrödinger Institute, Vienna (joint with B. Kostant, 2000), and the conference "Interesting Algebraic Varieties Arising in Algebraic Transformation Groups Theory" at The Erwin Schrödinger Institute, Vienna (2001).

Principal Investigator of the fSU–USA cooperative CRDF project "Algebraic Transformation Groups and Applications" (1996–1998). Team Leader of the joint Swiss-Franco-fSU INTAS project "Algebraic Transformation Groups with Application in Representation Theory and Algebraic Geometry" (1998–2000).

First Prize, graduate students research competition, Department of Mathematics, Moscow State University Lomonosov (1969).

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Among the results obtained are:

● A criterion for closedness of orbits in general position, one of the basic facts of modern Invariant theory (1970–72).

● Pioneering results of modern theory of embeddings (compactifications) of homogeneous algebraic varieties (in particular, toric and spherical varieties), which determined its rapid modern development (1972–73).

● Computing the Picard group of any homogeneous algebraic variety of any linear algebraic group (1972–74).

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● Creation of a new direction in Invariant theory—classifying linear actions with certain exceptional properties, e.g., with a free algebra of invariants (jointly with V. G. Kac and E. B. Vinberg), with a free module of covariants, with an equidimensional quotient, and the others. Developing the appropriate methods and obtaining the classifications themselves. Finiteness theorems for the actions with a fixed length of the chain of syzygies (1976–83). The ideology of exceptional properties has then became wide spreaded.

● Solution to the generalized Hilbert’s 14th problem (1979).

● The estimates of the degrees of basic invariants of connected semisimple linear groups first obtained 100 years after the attempt by Hilbert to obtain them (1981–82). They gave rise to modern constructive Invariant theory .

● A theory of contractions of any actions to horospherical ones, which has become an indispensable tool for the modern theory of algebraic transformation groups (1986).

● Pioneering results on the description of algebraic subgroups of the affine Cremona groups that led to a surge of activity in this area in recent decades are obtained (1986–2011).

● The characterization of affine algebraic groups as automorphism groups of simple finite- dimensional (not necessarily associative) algebras (2003, jointly with N. L. Gordeev). In particular, the extension to any finite group of the famous characterization of the largest simple sporadic finite group (the Fischer–Griess Monster). The result is published in Annals of Mathematics and recognized as one of the best in the Steklov Mathematical Institute in 2002.

● A theory of the phenomenon discovered in 1846 by Cayley (2005, jointly with N. Lemire, Z. Reichstein): classification of algebraic groups admitting a birational equivariant map on its Lie algebra. Solution to the old (1975) problem of classifying Caley unimodular groups. The result is published in Journal of the American Mathematical Society and recognized as one of the best in the Russian Academy of Sciences in 2005.

● Classification of simple Lie algebras whose fields of rational functions are purely transcendental over the subfields of adjoint invariants (2010, jointly with J.-L. Colliot- Thélène, B. Kunyavskiĭ, Z. Reichstein). This result is at the heart of counter-examples to the famous Gel'fand–Kirillov conjecture of 1966 on the fields of fractions of the universal enveloping algebras of simple Lie algebras. It is published in Compositio Mathematica and recognized as one of the best in the Steklov Mathematical Institute in 2010.

● Answers to the old (1969) questions of Grothendieck to Serre on the cross-sections and quotients for the actions of semisimple algebraic groups on themselves by conjugation. Constructing the minimal system of generators of the algebras of class functions and that of the representations of rings of such groups (2011).

● Introduction of the general concept of the Jordan group to the mathematical usage and initiating research (carried out since then by many specialists) of the Jordan property of automorphism groups of varieties and manifolds, in particular, groups of birational self-maps and biregular automorphisms of algebraic varieties. Classifying of algebraic curves and surfaces whose groups of birational self-maps are Jordan (2011).

● The solution of the classification problem, posed in 1965 by A. Borel, of infinite discrete groups generated by complex affine unitary reflections; exploring their remarkable connections with number theory, combinatorics, coding theory, algebraic geometry and singularity theory (1980–82, 2005).

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On the results obtained (citations):

● From Introduction to the book J. Olver, Classical Invariant Theory, London Math. Soc. Student Texts 44 Cambridge Univ. Press, 1999:

``[…] a vigorous, new Russian school of invariant theorists, led by Popov [181] and Vinberg [226] who have pushed the theory into fertile new areas. […]"

● On the book Popov, V. L. Groups, Generators, Syzygies, and Orbits in Invariant Theory. Transl. of Math. Monographs, 100. Amer. Math. Soc., Providence, RI, 1992. vi+245 pp.:

– From the review by G. Schwarz (Bull of Amer. Math. Soc., 29 (1993), no. 2, 299–304):

``[…] Popov is a leader in Invariant theory, and the articles in this book were important to that field’s development. […]’’

``[…] There has been an explosion of activity in this area over the last ten years. Popov's work was seminal. […]’’

– From the review by M. Brion (Math. Reviews 92g:14054:

``[… ] The author’s results have been the starting point for research trends in invariant

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theory: for example, classification of representations of semisimple groups with ``good " properties, and also embedding theory of homogeneous spaces. […]’’

● On the work V. L. Popov, E. B. Vinberg, Invariant Theory, Encycl. Math. Sci., Vol. 55, Springer-Verlag, Berlin, 1994, pp. 123–284:

– From the review by N. Andruskiewitsch (Zentralblatt Math. 735.14010):

``[…] The paper under review, written by two of the main contributors in this last period, […] should be considered as a book, which is probably the format it would have if translated. […]"

– From the review by P. E. Newstead (Math. Reviews 92d:14010) :

``This article is […] by two of today’s leading experts in the field and will undoubtedly serve as a major source of information on the subject. […]"

● From the paper Y. André, Solution algebras of differential equations and quasihomogeneous varieties: a new differential Galois correspondence, Ann. Sci. Ec. Norm. Sup. (4) 47 (2014), no. 2, 449--467:

``After pioneering work by Grosshans, Luna, Popov, Vinberg and others in the seventies, the study of quasi-homogeneous G-varieties, i.e., algebraic G-varieties with a dense G-orbit, has now become a rich and deep theory.’’

● From the paper D. Luna et Th. Vust, Plongements d’espaces homogènes, Comment. Math. Helvetici 58 (1983), 186–245:

``Nous devons notre point de départ bien évidemment à la théorie des plongements toriques ([5], [6]), mais aussi à article [10] de V. L. Popov, dans lequel est donnée la classification des espaces Presque-homogènes affines normaux sous SL(2)’’ (here [10] stands for V. L. Popov, “Quasihomogeneous affine algebraic varieties of the group SL(2)”, Math. USSR-Izv., 7:4 (1973), 793–831).

● From the Introduction to Chap. III of the book H. Kraft, Geometrische Methoden in der Invariantentheorie, Aspekte der Mathematik, Bd. D1, Vieweg, Braunschweig, 1985:

``[…] Zum Abschluss geben wir – sozusagen als Krönung der hier entwickelten Methoden – die vollständige Klassifikation der sogenannten SL(2)-Einbettungen, d.h. derjenigen affinen SL(2)-Varietäten, welche einen dichten Orbit enthalten. Dieses schöne Resultat geht auf V. L. Popov zurück [P1]'' (here [Po1] stands for V. L. Popov, “Quasihomogeneous affine algebraic varieties of the group SL(2)”, Math. USSR-Izv., 7:4 (1973), 793–831).

● From the book Algebraic Transformation Groups and Invariant Theory, DMV Seminar, Band 13, Birkhäuser, 1989, p. 72:

``In this paragraph we explain some classical results about the Picard group Pic G ([…]; [Po 74]; […])" (here [Po 74] stands for V. L. Popov, Picard groups of homogeneous spaces of linear algebraic groups and one-dimensional homogeneous vector bundles, Math. USSR Izv. 8 (1974), 301–327).

● From the paper H. Derksen, H. Kraft, Constructive Invariant theory, in: Algèbre Non Commutative, Groupes Quantiques et Invariants (Reims, 1995), Sémin. Congr., Vol. 36, Soc. Math. France, Paris, 1997, pp. 221–244:

``It took almost a century until Vladimir Popov determined a general bound for β(V ) for any semi-simple group G ([Pop 81/82])" (here [Pop 81/82] stands for V. Popov, Constructive Invariant theory, Ast_erisque 87{88 (1981), 303–334, and V. L. Popov, The constructive theory of invariants, Math. USSR Izv. 19 (1982), 359–376.

● From the paper J. Elmer, M. Kohls, Zero-separating invariants for finite groups, J. Algebra 411 (2014), 92–113:

``One of the most celebrated results of 20th century invariant theory is the theorem of Nagata [12] and Popov [13] which states that k[X]^G is finitely generated for all affine G-varieties X if and only if G is reductive.'' (here [13] stands for V. L. Popov, Hilbert's theorem on invariants, Soviet Math. Dokl., 20:6 (1979), 1318–1322).

● From the book (p. 161) D. Mumford, J. Fogarty, Geometric Invariant Theory, 2nd ed., Ergebnisse der Math. Und ihrer Grenzgebiete, Bd. 34, Springer-Verlag, Berlin, 1982:

``[…] The striking result due to Kac, Popov, Vinberg ([…], [166], […]) is the following Theorem […]‘’ (here [166] stands for V. G. Kac, V. L. Popov, E. B. Vinberg, “Sur les groupes linéaires algébriques dont l'algèbre des invariants est libre”, C. R. Acad. Sci. Paris Sér. A-B, 283:12 (1976), A875–A878).

● From the paper H. Flenner, M. Zaidenberg, Locally nilpotent derivations on affine surfaces with a C-action, Osaka J. Math. 42 (2005), no. 4, 931–974:

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``By classical results […] of Popov [Po], […]" (here [Po] stands for V. L. Popov, Classification of affine algebraic surfaces that are quasihomogeneous with respect to an algebraic group, Math. USSR Izv. 7 (1974), 1039–1055 (1975)).

● From the paper L. E. Renner, Orbits and invariants of visible group actions, Transform. Groups 17 (2012), no. 4, 1191–1208:

``We now introduce the following definition (Definition 1.10 below). It is one of the key notions in the study of invariants.[...] The notion of a stable action was first introduced in [7] by V. L. Popov. There he establishes a criterion of stability for semisimple groups (Theorem 1 of [7])‘’ (here Definition 1.10 is the definition of stable action and [7] is the reference to paper V. Popov, On the stability of the action of an algebraic group on an algebraic variety, Math. USSR Izv. 6 (1973), 367–379).

● From the paper N. Perrin, On the geometry of spherical varieties, Transform. Groups 19 (2014), no. 1, 171–223:

``It is a classical problem to ask which product of projective rational homogeneous spaces has a dense G-orbit. This is solved in [141] if all the parabolic subgroups agree‘’ (here [141] is the reference to the paper V. L. Popov, Generically multiple transitive algebraic group actions, in: Proceedings of the International Colloquium on Algebraic Groups and Homogeneous Spaces (Mumbai, 2004), Tata Institute of Fundamental Research, Vol. 19, Narosa, internat. distrib. by AMS, New Delhi, 2007, pp. 481–523).

● From the paper A. Guld, Boundedness properties of automorphism groups of forms of flag varieties, arXiv:1806.05400v1 [math.AG] 14 Jun 2018:

`` Recently there have been great interest in investigating the finite subgroups of biregular and birational automorphism groups of algebraic varieties. The Jordan property lies in the center of attention. <…> Research about investigating Jordan properties for birational and biregular automorphism groups of varieties was initiated by V. L. Popov in [Po11]” (here [Po11] is the reference to the paper V. L. Popov. On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties, Proceedings of the conference on Affine Algebraic Geometry held in Professor Russell’s honour, 1–5 June 2009, McGill Univ., Montreal., Centre de Recherches Mathématiques CRM Proc. and Lect. Notes, Vol. 54, 289–311, 2011).

Main publications: 1. N. Lemire, V. L. Popov, Z. Reichstein, “Cayley groups”, J. Amer. Math. Soc., 19:4 (2006), 921–967 2. N. L. Gordeev, V. L. Popov, “Automorphism groups of finite dimensional simple algebras”, Ann. of Math. (2), 158:3 (2003), 1041–1065

3. V. L. Popov, Groups, generators, syzygies, and orbits in invariant theory, Translations of Mathematical Monographs, 100, Amer. Math. Soc., Providence, RI, 1992 , vi+245 pp. 4. V. L. Popov, “Modern developments in invariant theory”, Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, Amer. Math. Soc., Providence, RI, 1987, 394–406 5. V. L. Popov, Discrete Somplex Reflection Groups, Lectures delivered at the Math. Institute Rijksuniversiteit Utrecht in October 1980, Commun. Math. Inst. Rijksuniv. Utrecht, 15, Rijksuniversiteit Utrecht Mathematical Institute, Utrecht, 1982 , 89 pp.

http://www.mathnet.ru/eng/person8935 http://scholar.google.com/citations?user=Qcve-A0AAAAJ&hl=en

http://zbmath.org/authors/?q=ai:popov.vladimir-l https://mathscinet.ams.org/mathscinet /MRAuthorID/191510 http://elibrary.ru /author_items.asp?authorid=103605 http://orcid.org/0000-0003-0990-2898 http://www.researcherid.com/rid/C-3495-2014 http://www.scopus.com/authid /detail.url?authorId=13605069500 https://www.researchgate.net/profile /Vladimir_Popov12 http://arxiv.org/a/popov_v_1

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2018 1. Vladimir L. Popov, “Modality of representations, and packets for -groups”, Lie Groups, Geometry, and Representation Theory, 1st ed., Progress in Mathematics, eds. Victor G. Kac, Vladimir L. Popov, Birkhäuser, Boston, 2018 (to appear) , arXiv: 1707.07720 2. Vladimir L. Popov, “The Jordan property for Lie groups and automorphism groups of complex spaces”, Math. Notes, 103:5 (2018), 811–819

3. V. L. Popov, Three plots about the Cremona groups, submitted to Izvestiya: Mathematics, 2018 (to appear) 4. V. L. Popov, “Compressible finite groups of birational automorphisms”, Dokl. Math., 482:1 (2018) (to appear) , 5 pp. 5. V. L. Popov, Yu. G. Zarhin, “Types of root systems in number fields”, Dokl. Math., 2018 (to appear) , 5 pp. 6. Vladimir L. Popov, Yuri G. Zarhin, Root systems in number fields, 2018 , 15 pp., arXiv: 1808.01136 7. Lie Groups, Geometry, and Representation Theory, Progress in Mathematics, 1st ed., eds. Victor G. Kac, Vladimir L. Popov, Birkhäuser, Boston, 2018 (to appear)

2017 8. Vladimir L. Popov, “Do we create mathematics or do we gradually discover theories which exist somewhere independently of us?”, Eur. Math. Soc. Newsl., 107 (2017), 37 9. V. L. Popov, “Borel subgroups of Cremona groups”, Mathematical Notes, 102:1 (2017), 60-67 link.springer.com/article/10.1134/S0001434617070070 (cited: 1) 10. Vladimir L. Popov, Algebraic groups whose orbit closures contain only finitely many orbits, 2017 , 12 pp., arXiv: 1707.06914v1 11. Vladimir L. Popov, “Bass' triangulability problem”, Algebraic varieties and automorphism groups, Adv. Stud. Pure Math., 75, Math. Soc. Japan, Kinokuniya, Tokyo, 2017, 425–441 bookstore.ams.org/aspm-75/, arXiv: 1504.03867

12. Vladimir L. Popov, “Discrete groups generated by complex reflections”, VI-th conference on algebraic geometry and complex analysis for young mathematicians of Russia (Northern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 25–30, 2017), Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2017, 13–14 www.mathnet.ru/php/conference.phtml?confid=1006&option_lang=eng 13. V. L. Popov, “On modality of representations”, Dokl. Math., 96:1 (2017), 312–314

14. Gene Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Subseries: Invariant Theory and Algebraic Transformation Groups, Encyclopaedia of Mathematical Sciences, 136, no. VII, 2nd ed., eds. Revaz V. Gamkrelidze, Vladimir L. Popov, Springer, Berlin, 2017 , 316+i-xxii pp. https://link.springer.com /content/pdf/bfm

2016 15. Vladimir L. Popov, “Birational splitting and algebraic group actions”, Eur. J. Math., 2:1 (2016), 283–290 https://www.math.uni-bielefeld.de/LAG/man/552.pdf, arXiv: 1502.02167 (cited: 2) (cited: 1) 16. V. L. Popov, G. V. Sukhotskii, Analiticheskaya geometriya. Uchebnik i praktikum, Bakalavr. Akademicheskii kurs, 2-e izd., per. i dop., Yurait, Moskva, 2016 , 232 pp. http://urait.ru/catalog/388730 17. V. L. Popov, “Algebras of General Type: Rational Parametrization and Normal Forms”, Proc. Steklov Inst. Math., 292:1 (2016), 202–215 (cited: 1) 18. V. L. Popov, “Subgroups of the Cremona groups: Bass' problem”, Dokl. Math., 93:3 (2016), 307–309

19. V. L. Popov, “Rationality of (co)adjoint orbits”, International conference on algebraic geometry, complex analysis and computer algebra (Northern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 03–09, 2016), Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2016, 84–85 http://www.mathnet.ru/ConfLogos

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/805/thesis.pdf

2015 20. Vladimir L. Popov, “Around the Abhyankar–Sathaye conjecture”, Documenta Mathematica, 2015, Extra Volume:Alexander S. Merkurjev's Sixtieth Birthday (The Book Series, Vol. 7), 513–528 https://www.math.uni-bielefeld.de/documenta/vol- merkurjev/popov.html, arXiv: 1409.6330 (ISSN 1431-0643 (INTERNET), 1431-0635 (PRINT)) 21. V. L. Popov, “Finite subgroups of diffeomorphism groups”, Proc. Steklov Inst. Math., 289 (2015), 221–226 , arXiv: 1310.6548v2 (cited: 6) (cited: 3) 22. V. L. Popov, “Problema Bassa o trianguliruemosti podgrupp grupp Kremony”, V shkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlya molodykh matematikov Rossii (g. Koryazhma Arkhangelskoi oblasti, Filial Severnogo (Arkticheskogo) federalnogo universiteta im. M. V. Lomonosova, 17–22 avgusta 2015 g.), Matematicheskii institut im. V.A. Steklova Rossiiskoi akademii nauk, Moskva, 2015, 83–87 http://www.mathnet.ru/ConfLogos/604/thesis- Koryazhma.pdf 23. V. L. Popov, “Number of components of the nullcone”, Proc. Steklov Inst. of Math., 290 (2015), 84–90 , arXiv: 1503.08303 (cited: 2) (cited: 1) 24. Vladimir L. Popov, “On the equations defining affine algebraic groups”, Pacific J. Math., 279:1-2, Special issue. In memoriam: Robert Steinberg (2015), 423–446 http://msp.org/pjm/2015/279-1/p19.xhtml, arXiv: 1508.02860 (cited: 1) 25. H. Derksen, G. Kemper, Computational Invariant Theory, with two Appendices by Vladimir L. Popov, and an Addendum by Norbert A'Campo and Vladimir L. Popov, Encyclopaedia of Mathematical Sciences, subseries “Invariant Theory and Algebraic Transformation Groups”, 130, no. VIII, Second Enlarged Edition, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, Heidelberg, 2015 , 387 pp. DOI:10.1007/978-3-662-48422-7 26. Vladimir L. Popov, “Is one of the two orbits in the closure of the other?”, Appendix B in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries “Invariant Theory and Algebraic Transformation Groups”, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed., Springer, Berlin, 2015, 309–322 www.springer.com/gp/book/9783662484203 27. Vladimir L. Popov, “Stratification of the nullcone”, Appendix C in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries “Invariant Theory and Algebraic Transformation Groups”, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 323–344 www.springer.com/gp/book/9783662484203 28. Norbert A'Campo, Vladimir L. Popov, “The source code of HNC”, Addendum to Appendix C in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries “Invariant Theory and Algebraic Transformation Groups”, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 345–358 www.springer.com/gp/book/9783662484203

2014 29. V. L. Popov, “Quotients by conjugation action, cross-sections, singularities,and representation rings”, Representation Theory and Analysis of Reductive Groups: Spherical Spaces and Hecke Algebras (Mathematisches Forschungsinstitut Oberwolfach, 19 January – 25 January 2014), Oberwolfach Reports, 11, no. 1, European Mathematical Society, 2014, 156–159 30. V. L. Popov, “On infinite dimensional algebraic transformation groups”, Transform. Groups, 19:2, special issue dedicated to E. B. Dynkin's 90th anniversary (2014), 549–568 https://www.math.uni-bielefeld.de/LAG/man/523.pdf, arXiv: 1401.0278 (cited: 1) (cited: 6) (cited: 1) (cited: 5) 31. V. L. Popov, “Jordan groups and automorphism groups of algebraic varieties”, Automorphisms in birational and affine geometry, Springer Proceedings in Mathematics & Statistics, 79, Springer, 2014, 185–213 https://www.math.uni- bielefeld.de/LAG/man/508.pdf, arXiv: 1307.5522 (cited: 17) 32. V. L. Popov, “Jordaness of the automorphism groups of varieties and manifolds”, Modern Problems of Mathematics and Natural Sciences (Koryazhma, September 15–18, 2014), Northern (Arctic) Federal M. V. Lomonosov University, Koryazhma, 2014, 66–70

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33. N. A. Vavilov, È. B. Vinberg, I. A. Panin, A. N. Panov, A. N. Parshin, V. P. Platonov, V. L. Popov, “Valentin Evgen'evich Voskresenskii (obituary)”, Russian Math. Surveys, 69:4 (2014), 753–754

2013 34. V. L. Popov, “Tori in the Cremona groups”, Izv. Math., 77:4, special issue on the occasion of I. R. Shafarevich's 90th anniversary (2013), 742–771 https://www.math.uni-bielefeld.de/LAG/man/474.pdf (cited: 6) (cited: 2) (cited: 2) (cited: 2) 35. V. L. Popov, “Some subgroups of the Cremona groups”, Affine algebraic geometry, Proceedings of the conference on the occasion of M. Miyanishi's 70th birthday (Osaka, Japan, 3–6 March 2011), World Scientific Publishing Co., Singapore, 2013, 213–242 https://www.math.uni-bielefeld.de/LAG/man/448.pdf (cited: 8) 36. V. L. Popov, “Algebraic groups and the Cremona group”, Algebraic groups (Mathematisches Forschungsinstitut Oberwolfach, 7 April – 13 April 2013), Oberwolfach Reports, 10, no. 2, European Mathematical Society, 2013, 1053–1055 37. V. L. Popov, “Rationality and the FML invariant”, Journal of the Ramanujan Mathematical Society, 28A (2013), 409–415 http://www.mathjournals.org /jrms/2013-028-000/2013-28A-SPL-017.html, https://www.math.uni-bielefeld.de /LAG/man/485.pdf (special Issue-2013 dedicated to C. S. Seshadri's 80th birthday) (cited: 1) (cited: 2) 38. S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, Russian Math. Surveys, 68:1 (2013), 189–197

2012 39. V. L. Popov, “Problems for the problem session”, International conference “Groups of Automorphisms in Birational and Affine Geometry” (Levico Terme (Trento), October 29th – November 3rd, 2012), 2012 , 2 pp. http://www.science.unitn.it /cirm/Trento_postersession.html 40. V. L. Popov, Editor's preface to the Russian translation of the book: D. A. Cox, S. Katz, Mirror symmetry and algebraic geometry, ed. V. L. Popov, MCCME, Moscow, 2012, 5

2011 41. J.-L. Colliot-Thélène, B. Kunyavskiĭ, V. L. Popov, Z. Reichstein, “Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?”, Compos. Math., 147:2 (2011), 428–466 (cited: 12) (cited: 8) (cited: 6) 42. V. L. Popov, “Cross-sections, quotients, and representation rings of semisimple algebraic groups”, Transform. Groups, 16:3, special issue dedicated to Tonny Springer on the occasion of his 85th birthday (2011), 827–856 (cited: 5) (cited: 4) (cited: 4) (cited: 4) 43. V. L. Popov, “On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties”, Affine algebraic geometry: the Russell Festschrift, CRM Proceedings and Lecture Notes, 54, Amer. Math. Soc., 2011, 289–311 https://www.math.uni-bielefeld.de/LAG/man/375.pdf (cited: 13) (cited: 19) 44. V. L. Popov, “Invariant rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjecture”, Algebra and Mathematical Logic, International conference commemorating th birthday of professor V. V. Morozov (Kazan, September 25–30, 2011), Kazan Federal Univ., Kazan, 2011, 19 45. D. A. Timashev, Homogeneous spaces and equivariant embeddings, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VIII, 138, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011 , 253 pp. (cited: 52) 46. H. E. A. E. Campbell, D. L. Wehlau, Modular invariant theory, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, IX, 139, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011 , 233 pp. (cited: 23)

2010

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47. V. Popov, “Discrete complex reflection groups”, Geometry, topology, algebra and number theory, applications, The international conference dedicated to the 120th anniversary of Boris Nikolaevich Delone (1890–1980) (August 16–20, 2010), Steklov Mathematical Institute, Moscow State University, Moscow, 2010, 140

2009 48. V. L. Popov, “Two orbits: When is one in the closure of the other?”, Proc. Steklov Inst. Math., 264 (2009), 146–158 (cited: 4) (cited: 4) (cited: 4) (cited: 4) 49. V. L. Popov, “Algebraic Cones”, Math. Notes, 86:6 (2009), 892–894 (cited: 1)

2008 50. V. L. Popov, “Irregular and singular loci of commuting varieties”, Transformation Groups, 13:3-4, special issue dedicated to Bertram Kostant on the occasion of his 80th birthday (2008), 819–837 (cited: 9) (cited: 10) (cited: 8) (cited: 12) 51. V. Lakshmibai, K. N. Raghavan, Standard Monomial Theory. Invariant Theoretic Approach, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VIII, 137, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2008 , 265 pp. (cited: 15)

2007 52. V. L. Popov, “Generically multiple transitive algebraic group actions”, Proceedings of the International Colloquium on Algebraic Groups and Homogeneous Spaces (Mumbai, 2004), Tata Institute of Fundamental Research, 19, Narosa Publishing House, Internat. distrib. by American Mathematical Society, New Delhi, 2007, 481–523 (cited: 12) 53. V. L. Popov, “Tensor product decompositions and open orbits in multiple flag varieties”, J. Algebra, 313:1 (2007), 392–416 (cited: 5) (cited: 4) (cited: 5) (cited: 4) 54. N. Lemire, V. L. Popov, Z. Reichstein, “On the Cayley degree of an algebraic group”, Proceedings of the XVIth Latin American Algebra Colloquium (Spanish), Bibl. Rev. Mat. Iberoamericana, Rev. Mat. Iberoamericana, Madrid, 2007, 87–97

55. V. L. Popov, “Quasihomogeneous affine threefolds”, Affine algebraic geometry (Oberwolfach, January 7–14, 2007), Oberwolfach Reports, 4, no. 1, Europ. Math. Soc., 2007, 13–16 http://www.ems-ph.org/journals /show_abstract.php?issn=1660-8933&vol=4&iss=1&rank=1 56. V. L. Popov, “Birationally nonequivalent linear actions. Cayley degrees of simple algebraic groups. Singularities of two-dimensional quotients”, Affine Algebraic Geometry (Oberwolfach, January 7–14, 2007), Oberwolfach Reports, 4, no. 1, Europ. Math. Soc., 2007, 75–78 http://www.ems-ph.org/journals /show_abstract.php?issn=1660-8933&vol=4&iss=1&rank=1 57. V. L. Popov, “Finite linear groups, lattices, and products of elliptic curves”, International Algebraic Conference Dedicated to the 100th Anniversary of D. K. Faddeev (St. Petersburg, September 24–29, 2007), St. Petersburg State University, St. Petersburg Department of the V. A. Steklov Institute of Mathematics RAS, 2007, 148–149

2006 58. V. L. Popov, Yu. G. Zarhin, “Finite linear groups, lattices, and products of elliptic curves”, J. Algebra, 305:1 (2006), 562–576 (cited: 1) (cited: 1) (cited: 1) (cited: 1) 59. M. Losik, P. W. Michor, V. L. Popov, “On polarizations in invariant theory”, J. Algebra, 301:1 (2006), 406–424 (cited: 7) (cited: 8) (cited: 7) (cited: 8) 60. N. Lemire, V. L. Popov, Z. Reichstein, “Cayley groups”, J. Amer. Math. Soc., 19:4 (2006), 921–967 (cited: 9) (cited: 9) (cited: 8) (cited: 9) 61. G. Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Encyclopaedia of Mathematical Sciences, Series Invariant Theory and Algebraic Transformation Groups, VII, 136, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2006 , 261 pp. (cited: 89)

2005

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62. V. L. Popov, “Projective duality and principal nilpotent elements of symmetric pairs”, Lie groups and invariant theory, Amer. Math. Soc. Transl. Ser. 2, 213, Amer. Math. Soc., Providence, RI, 2005, 215–222 (cited: 2) 63. V. L. Popov, “Roots of the affine Cremona group; Rationality of homogeneous spaces; Two locally nilpotent derivations”, Affine algebraic geometry, Contemp. Math., 369, Amer. Math. Soc., Providence, RI, 2005, 12–16 64. E. Tevelev, Projective duality and homogeneous spaces, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, IV, 133, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 250 pp. (cited: 23) 65. M. Lorenz, Multiplicative invariant theory, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VI, 135, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 177 pp. (cited: 33) 66. L. E. Renner, Linear algebraic monoids, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, V, 134, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2005 , 246 pp. (cited: 67)

2004 67. V. L. Popov, E. A. Tevelev, “Self-dual projective algebraic varieties associated with symmetric spaces”, Algebraic transformation groups and algebraic varieties, Proceedings of the International conference “Interesting Algebraic Varieties Arising in Algebraic Transformation Groups Theory” (the Erwin Schrödinger Institute, Vienna, October 22–26, 2001), Invariant Theory and Algebraic Transformation Groups, III, Encyclopaedia of Mathematical Sciences, 132, eds. V. L. Popov, Springer, Heidelberg, Berlin, 2004, 131–167 (cited: 7) (cited: 6) 68. V. L. Popov, “Moment polytopes of nilpotent orbit closures; Dimension and isomorphism of simple modules; and Variations on the theme of J. Chipalkatti”, Invariant theory in all characteristics, CRM Proc. Lecture Notes, 35, Amer. Math. Soc., Providence, RI, 2004, 193–198 (cited: 2) 69. N. A'Campo, V. L. Popov, The computer algebra package HNC (Hilbert Null Cone), http://www.geometrie.ch/, Mathematisches Institut Universität Basel, Basel, 2004 , 12 pp. 70. V. L. Popov (ed.), Algebraic transformation groups and algebraic varieties, Proceedings of the International conference “Interesting Algebraic Varieties Arising in Algebraic Transformation Groups Theory” held at the Erwin Schrödinger Institute (Vienna, October 22–26, 2001), Invariant Theory and Algebraic Transformation Groups, v. III, Encyclopaedia of Mathematical Sciences, 132, Springer, Berlin, Heidelberg, 2004 , xii+238 pp. (cited: 3)

2003 71. N. L. Gordeev, V. L. Popov, “Automorphism groups of finite dimensional simple algebras”, Ann. of Math. (2), 158:3 (2003), 1041–1065 (cited: 6) (cited: 6) (cited: 5) (cited: 5) 72. M. Losik, P. W. Michor, V. L. Popov, “Invariant tensor fields and orbit varieties for finite algebraic transformation groups”, A Tribute to C. S. Seshadri: Perspectives in Geometry and Representation Theory (Chennai, 2002), Hindustan Book Agency (India), Chennai, 2003, 346–378 (cited: 4) 73. V. L. Popov, “The Cone of Hilbert nullforms”, Proc. Steklov Inst. Math., 241 (2003), 177–194 74. V. L. Popov, “Greetings to Seshadri on his 70th birthday”, A Tribute to C. S. Seshadri: Perspectives in Geometry and Representation Theory, Hindustan Book Agency (India), Chennai, 2003, xix

2002 75. V. L. Popov, “Self-dual algebraic varieties and nilpotent orbits”, Proceedings of the international conference “Algebra, Arithmetic and Geometry”, Part II (Mumbai, 2000), Tata Institute of Fundamental Research, 16, Narosa Publishing House, intern. distrib. by American Mathematical Society, New Delhi, 2002, 509–533 (cited: 6) 76. V. L. Popov, “Constructive invariant theory”, Collection of Papers Commemorating 40th Anniversary of MGIEM, MIEM Publ., Moscow, 2002, 103–106 77. H. Derksen, G. Kemper, Computational Invariant Theory, Encyclopaedia of Mathematical Sciences, Series Invariant Theory and Algebraic Transformation Groups, 1, 130, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2002 , 268 pp. (cited: 167)

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78. A. Białynicki-Birula, J. B. Carrell, W. M. McGovern, Algebraic quotients. Torus actions and cohomology. The adjoint representation and the adjoint action, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, II, 131, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2002 , 242 pp. (cited: 8)

2001 79. V. L. Popov, “On polynomial automorphisms of affine spaces”, Izv. Math., 65:3 (2001), 569–587 80. V. Popov, “Modern developments in invariant theory”, Plenary Address at Österreichische Mathematische Gesellschaft – 15 Kongress, Jahrestagung der Deutschen Mathematikervereinigung (Vienna, 16–22 September), Deutsche Mathematikervereinigung, Österreichische Mathematische Gesellschaft, 2001, 48 81. V. L. Popov, “Preface to the Russian translation of talks at the Séminaire Bourbaki, 1992”, Mathematics. News in Foreign Science, 50, Mir, Moscow, 2001

2000 82. P. I. Katsylo, V. L. Popov, “On Fixed Points of Algebraic Actions on ”, Funct. Anal. Appl., 34:1 (2000), 33–40

83. V. L. Popov, Generators and relations of the affine coordinate rings of connected semisimple algebraic groups, preprint ESI, no. 972, The Erwin Schrödinger Institute for Mathematical Physics, Vienna, 2000 , 12 pp. 84. V. L. Popov, Editor's preface to the Russian translation of the book: D. Cox, J. Little, D. O'Shea, Ideals, Varieties, and Algorithms. An Introduction to Computational Algebraic Geometry and Commutative Algebra (2nd edition, Springer, 1998), ed. V. L. Popov, Mir, Moscow, 2000, 6

1999 85. V. L. Popov, G. V. Sukhotsky, Analytic Geometry. Lectures and Exercises, MGIEM, SITMO Publ., Moscow, 1999 , ii+232 pp. 86. Vladimir Popov, “Algebraic groups of automorphisms of polynomial rings”, Colloque International “Théorie des Groupes”. Journées Solstice d'été 1999 (Institut de Mathématiques de Jussieu, 75005 Paris, France, 17, 18, 19 juin 1999), l'Université Paris 7–Denis Diderot, 1999, 15 https://www.imj-prg.fr/grg/archives /Colloques/1999Solstice/

1998 87. V. L. Popov, Discrete complex reflection groups, Workshop on Reflection Groups, January 13–21, SISSA, Trieste, Italy, 1998 , 23 pp. 88. V. L. Popov, “Comments to the papers by D. Hilbert “Über die Theorie der algebraischen Formen” and “Über die vollen Invariantensysteme””: D. Hilbert, Selected Works, Factorial Publ., Moscow, 1998, 490–517 89. V. L. Popov, “Reductive subgroups of and ”, Tagungsbericht 14/1998, Algebraische Gruppen, 05.04–11.04.1998 (Mathematisches Forschungsinstitut Oberwolfach, 05.04–11.04,1998), v. 14, Mathematisches Forschungsinstitut Oberwolfach, 1998, 13–14 https://www.mfo.de/occasion /9815/www_view

1997 90. V. Popov, G. Röhrle, “On the number of orbits of a parabolic subgroup on its unipotent radical”, Algebraic Groups and Lie Groups, Australian Mathematical Society Lecture Series, 9, Cambridge University Press, Cambridge, 1997, 297–320 (cited: 16) 91. V. L. Popov, “A finiteness theorem for parabolic subgroups of fixed modality”, Indag. Math. (N.S.), 8:1 (1997), 125–132 (cited: 7) (cited: 10) (cited: 9) (cited: 10) 92. V. L. Popov, “On the Closedness of Some Orbits of Algebraic Groups”, Funct. Anal. Appl., 31:4 (1997), 286–289 (cited: 2) (cited: 2) 93. Vladimir Popov, “Orbits of parabolic subgroups acting on its unipotent radicals”, Tagungsbericht 42/1997. Einh"ullende Algebren und Darstellungstheorie. 02.11–08.11.1997 (Mathematisches Forschungsinstitut Oberwolfach. 02.11–08.11.1997), v. 42, Mathematisches Forschungsinstitut Oberwolfach, 1997, 13 http://oda.mfo.de/bsz325095604.html 94. D. V. Alekseevskii, V. O. Bugaenko, G. I. Olshanskii, V. L. Popov, O. V. Schwarzman, “Érnest Borisovich Vinberg (on his 60th birthday)”, Russian

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Math. Surveys, 52:6 (1997), 1335–1343 (cited: 1)

1995 95. V. L. Popov, “An analogue of M. Artin's conjecture on invariants for nonassociative algebras”, Lie Groups and Lie Algebras: E. B. Dynkin's Seminar, American Mathematical Society Translations Ser. 2, 169, Amer. Math. Soc., Providence, RI, 1995, 121–143 (cited: 4) (cited: 24)

1994 96. V. Popov, “Sections in invariant theory”, Proceedings of The Sophus Lie Memorial Conference (Oslo, 1992), Scandinavian University Press, Oslo, 1994, 315–361 (cited: 28) 97. V. L. Popov, “Divisor class groups of the semigroups of the highest weights”, J. Algebra, 168:3 (1994), 773–779

98. V. L. Popov, E. B. Vinberg, “Invariant theory”, Encyclopaedia of Mathematical Sciences, 55, Algebraic Geometry IV, Springer-Verlag, Berlin, Heidelberg, New York, 1994, 123–284

1993 99. V. L. Popov, “Singularities of closures of orbits”, Quantum Deformations of Algebras and Their Representations (Ramat-Gan, 1991/1992; Rehovot, 1991/1992), Israel Math. Conference Proceedings, 7, Bar-Ilan University, Ramat Gan, 1993, 133–141 (cited: 1) 100. V. L. Popov, Predislovie k russkomu perevodu knigi: V. Kats, Beskonechnomernye algebry Li, eds. V. L. Popov, Mir, M., 1993, 5–6 , 425 pp. (cited: 29)

1992 101. V. L. Popov, “On the “lemma of Seshadri””, Arithmetic and Geometry of Varieties, Samara State Univ., Samara, 1992, 133–139 102. V. L. Popov, È. B. Vinberg, “Some open problems in invariant theory”, Proc. Internat. Conf. in Algebra, Part 3 (Novosibirsk, 1989), Contemporary Mathematics, 131, Part 3, American Mathematical Society, Providence, RI, 1992, 485–497 (cited: 3) (cited: 53) 103. V. L. Popov, Groups, generators, syzygies, and orbits in invariant theory, Translations of Mathematical Monographs, 100, Amer. Math. Soc., Providence, RI, 1992 , vi+245 pp. (cited: 14) 104. V. L. Popov, “On the “lemma of Seshadri””, Lie Groups, Their Discrete Subgroups, and Invariant Theory, Advances in Soviet Mathematics, 8, Amer. Math. Soc., Providence, RI, 1992, 167–172 (cited: 3)

1991 105. V. L. Popov, “Invariant theory”, Algebra and Analysis (Kemerovo, 1988), Amer. Math. Soc. Transl. Ser. 2, 148, Amer. Math. Soc., Providence, RI, 1991, 99–112 (cited: 5)

1990 106. V. L. Popov, “When are the stabilizers of all nonzero semisimple points finite?”, Operator algebras, unitary representations, nveloping algebras, and invariant theory (Paris, 1989), Progress in Mathematics, 92, Birkhäuser Boston, Boston, MA, 1990, 541–559 (cited: 1) (cited: 47)

1989 107. V. L. Popov, “Some applications of algebra of functions on ”, Group Actions and Invariant Theory (Montreal, PQ, 1988), CMS Conference Proceedings, 10, Amer. Math. Soc., Providence, RI, 1989, 157–166 108. V. L. Popov, “Automorphism groups of polynomial algebras”, Problems in Algebra (Gomel'), v. 4, Universitetskoe, Minsk, 1989, 4–16

1994 109. V.. L. Popov, È. B. Vinberg, “Invariant theory”, Algebraic Geometry–4, Encyclopaedia of Mathematical Sciences, 55, Springer-Verlag, Berlin, Heidelberg, 1994, 123–284

1989

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110. V. L. Popov, “Modules with finite stabilizers of nonzero semisimple elements”, Proc. Intern. Conference commemorating A. I. Mal'cev (Novosibirsk), Math. Inst. Sib. Branch Acad. Sci., Novosibirsk, 1989, 108 111. V. L. Popov, Basic algebraic structures, MIEM Publ., Moscow, 1989 , 42 pp.

1988 112. V. L. Popov, “On the actions of on ”, Arithmetic and geometry of varieties, Kuibyshev. Gos. Univ., Kuybyshev, 1988, 93–98

1989 113. V. L. Popov, “Closed orbits of Borel subgroups”, Math. USSR-Sb., 63:2 (1989), 375–392

1988 114. V. L. Popov, Analytic Geometry, MIEM Publ., Moscow, 1988 , 44 pp. 115. V. L. Popov, Linear Algebra, MIEM Publ., Moscow, 1988 , 45 pp.

1987 116. V. L. Popov, “One and a half centuries in the theory of invariants”, Methodological analysis of mathematical theories, Akad. Nauk SSSR Prezid., Tsentral. Sovet Filos. (Metod.) Sem., Moscow, 1987, 235–256 117. V. L. Popov, “Modern developments in invariant theory”, Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, Amer. Math. Soc., Providence, RI, 1987, 394–406 (cited: 1) 118. V. L. Popov, “On actions of on ”, Algebraic groups (Utrecht, 1986), Lecture Notes in Math., 1271, Springer, Berlin, 1987, 237–242 (cited: 9) (cited: 12) 119. V. L. Popov, “Stability of actions of Borel subgroups”, Proc. of the XIX-th All Union Algebraic Conference (L'vov), v. 1, Steklov Math. Inst. Acad. Sci. USSR, Moscow, 1987, 48 120. V. L. Popov, Editor's preface to the Russian translation of the book: H. Kraft, Geometrische Methoden in der Invariantentheorie, eds. V. L. Popov, Mir, Moscow, 1987, 5–7 121. V. L. Popov, “Contractions of the actions of reductive algebraic groups”, Math. USSR-Sb., 58:2 (1987), 311–335

1986 122. V. L. Popov, “On one-dimensional unipotent subgroups of the automorphism group of a polynomial algebra”, Proc. of the X-th All Union Symposium on Groups Theory (Minsk), Math. Isnt. Belorus. Acad. Sci., 1986, 182

1985 123. H. Kraft, V. L. Popov, “Semisimple group actions on the three-dimensional affine space are linear”, Comment. Math. Helv., 60:3 (1985), 466–479 (cited: 19) (cited: 25) (cited: 7) (cited: 24)

1984 124. V. L. Popov, “Comments to the papers by H. Weyl “Theorie der Darstellung kontinuierlicher halbeinfacher Gruppen durch lineare TYransformationen”, "Spinors in dimensions" and “Eine für die Valenztheorie geeignete Basis der binären vektorinvarianten””, H. Weyl, Selected Works, Nauka, Moscow, 1984, 471–478; 461–467

1983 125. V. L. Popov, “Homological dimension of algebras of invariants”, J. Reine Angew. Math., 341 (1983), 157–173 (cited: 3) (cited: 10) (cited: 9)

1984 126. V. L. Popov, “Syzygies in the theory of invariants”, Math. USSR-Izv., 22:3 (1984), 507–585

1983

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127. V. L. Popov, “On homological dimension of algebras of invariants”, Proc. of the XVII-th All Union Algebraic Conference (Minsk), Math. Inst. Belorus. Acad. Sci, 1983, 152–153

1982 128. V. L. Popov, Discrete Somplex Reflection Groups, Lectures delivered at the Math. Institute Rijksuniversiteit Utrecht in October 1980, Commun. Math. Inst. Rijksuniv. Utrecht, 15, Rijksuniversiteit Utrecht Mathematical Institute, Utrecht, 1982 , 89 pp. (cited: 14)

1983 129. V. L. Popov, “A finiteness theorem for representations with a free algebra of invariants”, Math. USSR-Izv., 20:2 (1983), 333–354

1982 130. V. Grigor'ev, V. L. Popov, D. D. Solncev, Problems in algebra, MIEM Publ., Moscow, 1982 , 98 pp.

1981 131. V. L. Popov, “Constructive invariant theory”, Young Tableaux and Schur Functors in Algebra and Geometry (Toruń, 1980), Astérisque, 87, Soc. Math. France, Paris, 1981, 303–334 (cited: 11)

1982 132. V. L. Popov, “The constructive theory of invariants”, Math. USSR-Izv., 19:2 (1982), 359–376

1981 133. V. L. Popov, “Appendix 3 to the Russian translation of the book”: T. A. Springer, Invariant theory”, Mathematics. News in Foreign Science, 24, eds. V. L. Popov, Mir, Moscow, 1981, 153–182 134. V. L. Popov, Preface to the Russian translation of: T. Springer, Invariant theory, Mir, Moscow, 1981, 5–8

1980 135. V. L. Popov, “Complex root systems and their Weyl groups”, Proc. of the VII All Union Symposium on Group Theory (Krasnoyarsk), Math. Inst. Sib. Branch Acad. Sci., Krasnoyarsk Univ., Krasnoyarsk, 1980, 91 136. V. L. Popov, “Constructive invariant theory”, Proc. internat. conf. “Young Tableaux and Schur Functions in Algebra and Geometry” (Toruń, Poland), Inst. Math. Acad. Polon. Sci., 1980, 10–11

1979 137. V. L. Popov, “Hilbert's theorem on invariants”, Soviet Math. Dokl., 20:6 (1979), 1318–1322 138. V. L. Popov, “On Hilbert's fourteenth problem”, Proc. of the XV-th All Union Algebraic Conference (Krasnoyarsk), Math. Inst. Sib. Branch Acad. Sci., Krasnoyarsk Univ., Krasnoyarsk, 1979, 123

1980 139. V. L. Popov, “Classification of spinors of dimension fourteen”, Trans. Mosc. Math. Soc., 1 (1980), 181–232

1978 140. V. L. Popov, “Algebraic curves with an infinite automorphism group”, Math. Notes, 23:2 (1978), 102–108 (cited: 1) (cited: 1)

1977 141. V. L. Popov, “One conjecture of Steinberg”, Funct. Anal. Appl., 11:1 (1977), 70–71 (cited: 1) 142. V. L. Popov, “Classification of the spinors of dimension fourteen”, Uspekhi Mat. Nauk, 32:1(193) (1977), 199–200

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143. V. L. Popov, “Crystallographic groups generated by affine unitary reflection”, Proc. of the XIV-th All Union Algebraic Conference (Novosibirsk), v. 1, Math. Inst. Sib. Branch Acad. Sci., Novosibirsk Univ., Novosibirsk, 1977, 55–56

1987 144. V. L. Popov, 86 papers, Encyclopaedia of Mathematics, Kluwer Academic Publishers, 1987–2002

1976 145. V. G. Kac, V. L. Popov, E. B. Vinberg, “Sur les groupes linéaires algébriques dont l'algèbre des invariants est libre”, C. R. Acad. Sci. Paris Sér. A-B, 283:12 (1976), A875–A878 (cited: 12) 146. V. L. Popov, “Representations with a free module of covariants”, Funct. Anal. Appl., 10:3 (1976), 242–244 (cited: 24)

1975 147. V. L. Popov, “The classification of representations which are exceptional in the sense of Igusa”, Funct. Anal. Appl., 9:4 (1975), 348–350 (cited: 3) 148. V. L. Popov, “Classification of three-dimensional affine algebraic varieties that are quasi-homogeneous with respect to an algebraic group”, Math. USSR-Izv., 9:3 (1975), 535–576

1974 149. V. L. Popov, “Picard groups of homogeneous spaces of linear algebraic groups and one-dimensional homogeneous vector bundles”, Math. USSR-Izv., 8:2 (1974), 301–327 150. V. L. Popov, “Structure of the closure of orbits in spaces of finite-dimensional linear SL(2) representations”, Math. Notes, 16:6 (1974), 1159–1162 (cited: 1)

1973 151. V. L. Popov, “Classification of affine algebraic surfaces that are quasihomogeneous with respect to an algebraic group”, Math. USSR-Izv., 7:5 (1973), 1039–1056 152. V. L. Popov, “Quasihomogeneous affine algebraic varieties of the group SL(2)”, Math. USSR-Izv., 7:4 (1973), 793–831

1972 153. È. B. Vinberg, V. L. Popov, “On a class of quasihomogeneous affine varieties”, Math. USSR-Izv., 6:4 (1972), 743–758 154. V. L. Popov, “On the stability of the action of an algebraic group on an algebraic variety”, Math. USSR-Izv., 6:2 (1972), 367–379 155. V. L. Popov, “Picard groups of homogeneous spaces of linear algebraic groups and one-dimensional homogeneous vector bundles”, Uspekhi Mat. Nauk, XXVII:4 (1972), 191–192

1971 156. E. M. Andreev, V. L. Popov, “Stationary subgroups of points of general position in the representation space of a semisimple Lie group”, Funct. Anal. Appl., 5:4 (1971), 265–271 (cited: 11) 157. V. L. Popov, “Regular action of a semisimple algebraic group on an affine factorial algebra”, Proc. of the XI-th All Union Algebraic Colloquium (Kishinev), Math. Istitute Mold. Acad. Sci., Kishinev, 1971, 75

1970 158. V. L. Popov, “Stability criteria for the action of a semisimple group on a factorial manifold”, Math. USSR-Izv., 4:3 (1970), 527–535

Presentations in 1. Cremona groups vs. algebraic groups Math-Net.Ru V. L. Popov International conference Algebraic Geometry — Mariusz Koras in memoriam, May 28– June 1, 2018, Institute of Mathematics of the Polish Academy of Sciences, Warsaw, Poland May 28, 2018 10:40

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2. Variations on the theme of Zariski's Cancellation Problem V. L. Popov International conference Polynomial Rings and Affine Algebraic Geometry (PRAAG- 2018), February 12--16, 2018, Tokyo Metropolitan University, Tokyo, Japan February 14, 2018 11:50 3. Discrete groups generated by complex reflections. Lecture 3 V. L. Popov Sixth school-conference on algebraic geometry and complex analysis for young russian mathematicians August 26, 2017 09:00 4. Discrete groups generated by complex reflections. Lecture 2 V. L. Popov Sixth school-conference on algebraic geometry and complex analysis for young russian mathematicians August 25, 2017 15:35 5. Discrete groups generated by complex reflections. Lecture 1 V. L. Popov Sixth school-conference on algebraic geometry and complex analysis for young russian mathematicians August 25, 2017 14:30 6. What are the equations defining linear algebraic groups? V. L. Popov "Algebra, algebraic geometry, and number theory". Memorial conference for academician Igor Rostislavovich Shafarevich June 5, 2017 14:30 7. On Borel subgroups in the Cremona groups V. L. Popov Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar) October 11, 2016 15:00 8. Around the Bass' Triangulability Problem V. L. Popov International Cremona Conference, September 5--16, 2016, Basel, Switzerland September 14, 2016 10:30 9. Triangulable subgroups of the Cremona groups V. L. Popov International conference on algebraic geometry, complex analysis and computer algebra August 7, 2016 12:00 10. Coordinate algebras of connected affine algebraic groups: generators and relations V. L. Popov International Workshop "Hopf Algebras, Algebraic Groups and Related Structures", June 13-17, 2016, Memorial University of Newfoundland, St John's, NL, Canada June 14, 2016 15:00 11. On the equations defining affine algebraic groups V. L. Popov The third Russian-Chinese conference on complex analysis, algebra, algebraic geometry and mathematical physics May 14, 2016 12:10 12. The equations defining algebraic groups V. L. Popov Talk delivered at the Chebyshev Laboratory, St. Petersburg State University December 24, 2015 11:00 13. Simple algebras and algebraic groups V. L. Popov September 16, 2015 13:30 14. Bass' problem on triangulable subgroups of the Cremona group V. L. Popov May 22, 2015 10:00 15. Invariant Theory V. L. Popov May 21, 2015 18:00 16. Algebraic subgroups of the Cremona groups V. L. Popov International Scientific Session "Algebraic Geometry, Warsaw 1960-2015", on the occasion of awarding the honorary doctorate of the University of Warsaw to Professor Andrzej Szczepan Bialynicki-Birula, March 19-20, 2015, Warshaw, Poland March 20, 2015 15:00

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17. About Grothendieck V. L. Popov Meeting "Alexander Grothendieck (1928--2014) and mathematics of XXth century" of the Section of Mathematics, Central House of Scientists of the RAS February 19, 2015 18:30 18. Jordan groups V. L. Popov General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences December 18, 2014 14:00 19. Closures of orbits V. L. Popov St. Petersburg Seminar on Representation Theory and Dynamical Systems December 17, 2014 17:00 20. Simple algebras and invariants of linear actions V. L. Popov Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar) November 18, 2014 15:00 21. Orbit closures of algebraic group actions V. L. Popov International conference "Geometry, Topology and Integrability", October 20-25, 2014, Skolkovo Institute of Science and Technology, Moscow October 23, 2014 12:50 22. Orbit closures V. L. Popov September 16, 2014 09:00 23. Infinite dimensional automorphism groups of algebraic varieties, multiple transitivity, and unirationality V. L. Popov July 17, 2014 14:00 24. Finite group actions on algebraic varieties: a “social” approach V. L. Popov July 10, 2014 10:00 25. Automorphism groups of algebraic varieties V. L. Popov Steklov Mathematical Institute Seminar March 27, 2014 16:00 26. Quotients by conjugation action, cross-sections, singularities, and representation rings V. L. Popov January 20, 2014 15:00 27. Строение алгебраических подгрупп групп автоморфизмов алгебраических многообразий и, в частности, группы Кремоны V. L. Popov Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013 November 20, 2013 10:20 28. Жордановы группы и группы автоморфизмов алгебраических многообразий V. L. Popov Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar) September 10, 2013 15:00 29. Grothendieck's questions on conjugating actions of semisimple groups V. L. Popov International conference dedicated to the 90th anniversary of academician Igor Rostislavovich Shafarevich June 5, 2013 14:30 30. Algebraic groups and the Cremona group V. L. Popov April 9, 2013 10:20 31. Orbit closures V. L. Popov March 6, 2013 11:30 32. Rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjecture V. L. Popov January 4, 2013 15:10 33. Tori in Cremona groups V. L. Popov Second one-day conference dedicated to the memory of V. A. Iskovskikh December 27, 2012 12:30

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34. Simple algebras and the analogue of classical invariant theory for nonclassical groups V. L. Popov International conference "Arithmetic as Geometry: Parshin Fest" November 29, 2012 15:00 35. Jordan groups and automorphism groups of algebraic varieties V. L. Popov November 2, 2012 36. Rational functions on semisimple Lie algebras and the Gelfand–Kirillov Conjecture V. L. Popov October 2, 2012 37. 170 years of invariant theory V. L. Popov September 27, 2012 38. Coordinate algebras of algebraic groups: generators and relations V. L. Popov September 27, 2012 39. Rational functions on semisimple Lie algebras and the Gelfand–Kirillov Conjecture V. L. Popov September 25, 2012 40. Tori in Cremona groups V. L. Popov International conference "Essential Dimension and Cremona Groups", Chern Institute of Mathematics, Nankai University, Tianjin, China June 12, 2012 41. 170 years of invariant theory V. L. Popov Colloquium talk at the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China. June 8, 2012 16:30 42. Rational actions on affine spaces V. L. Popov International conference "Birational and affine geometry" April 23, 2012 11:00 43. On the subgroups of the Cremona group V. Popov Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar) April 3, 2012 15:00 44. Invariant rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjecture V. L. Popov International conference "Algebra and Mathematical Logic" dedicated to the 100-th birthday of Professor V. V. Morozov September 27, 2011 11:20 45. Cross-sections, quotients, and representation rings of semisimple algebraic groups V. L. Popov Colloque International, Journées Solstice d'été 2011, Institut de Mathématiques de Jussieu, Université Paris-7 Denis Diderot, Paris June 23, 2011 09:00 46. Discrete groups generated by complex reflections V. L. Popov International conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS" dedicated to the 120th anniversary of Boris Delone (1890–1980) August 17, 2010 14:00 47. Cross-sections, quotients, and representation rings of semisimple algebraic groups V. L. Popov International Algebraic Conference dedicated to the 70th birthday of Anatoly Yakovlev, June 19–24, 2010, St. Petersburg, Russia June 19, 2010 09:30 48. Cayley groups V. L. Popov International Workshop Non-Archimedean Analysis, Lie Groups and Dynamical Systems February 8-12, 2010, Paderborn, Germany February 8, 2010 14:50 49. Cross-sections, quotients, and representation rings of semisimple algebraic groups V. L. Popov International Workshop Linear Algebraic Groups and Related Structures, Banff International Research Station for Mathematical Innovation and Discovery, Banff, Canada

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September 16, 2009 09:50 50. Cross-sections and quotients for the actions of semisimple algebraic groups V. L. Popov International conference "Geometry of Algebraic Varieties" dedicated to the memory of Vasily Alexeevich Iskovskikh June 30, 2009 10:00 51. Two orbits: when is one in the closure of the other? V. L. Popov International conference Affine Algebraic Geometry in honour of Peter Russell, McGill University, Montreal, Canada June 5, 2009 15:00 52. Algebraic groups and singularities V. L. Popov Summer School-Conference on Algebraic Geometry and Complex Analysis, Yaroslavl May 11, 2009 53. Two orbits: when is one in the closure of the other? V. L. Popov Seminar of the Department of Algebra April 28, 2009 15:00 54. Is the field of functions on the Lie algebra pure over the invariant subfield? V. L. Popov The second annual conference-meeting MIAN–POMI "Algebra and Algebraic Geometry" December 24, 2008 12:15 55. Describing the Hilbert cone of unstable points V. L. Popov International Conference Geometric Invariant Theory, Mathematisches Institut Georg- August-Universitat Gottingen, Gottingen, Germany June 2, 2008 09:30 56. Tensor product decompositions and open orbits in multiple flag varieties V. L. Popov International Conference Lie Theory and Geometry. The Mathematical Legacy of Bertram Kostant, University of British Columbia, Vancouver, Canada May 23, 2008 14:30 57. One and a half centuries of invariant theory V. L. Popov Steklov Mathematical Institute Seminar February 28, 2008 16:00 58. Rationality of extensions of invariant fields V. L. Popov Seminar of the Department of Algebra January 29, 2008 15:00 59. One and a half centuries of Invariant Theory V. L. Popov The 2007 Collingwood Lecture, Durham University, Great Britain November 23, 2007 13:15 60. Finite linear groups, lattices, and products of elliptic curves V. L. Popov International Algebraic Conference dedicated to the 100th anniversary of D. K. Faddeev September 25, 2007 11:00 61. Cayley groups V. L. Popov International conference on algebra and number theory, dedicated to the 80th anniversary of V. E. Voskresensky, Samara May 22, 2007 62. Discrete groups generated by complex reflections V. L. Popov Seminar of the Department of Algebra March 27, 2007 15:00 63. Generically transitive algebraic group actions, open orbits in multiple flag varieties, and tensor product decompositions V. L. Popov Seminar of the Department of Algebra January 23, 2007 15:00 64. Quasihomogeneous affine threefolds V. L. Popov International Conference Affine Algebraic Geometry, Oberwolfach, Germany January 7, 2007

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65. Generically multiple transitive algebraic group actions V. L. Popov International conference Algebraic Geometry: Warsaw 1960-2005, Bedlęwo, Poland June 8, 2006 66. Finite linear groups, lattices, and products of elliptic curves V. L. Popov International Workshop Algebra and Geometry on the occasion of Norbert A'Campo's 65th anniversary, ETH Zurich, Switzerland May 18, 2006 67. 13th Hilbert problem and algebraic groups V. L. Popov Meetings of the St. Petersburg Mathematical Society April 18, 2006 68. Finite linear groups, lattices, and products of elliptic curves (joint work with Yu. G. Zarhin) V. L. Popov Seminar of the Department of Algebra April 4, 2006 69. Projective self-dual algebraic varieties and nilpotent orbits V. L. Popov Buenos Aires Satellite Conference of the Lat Am Algebra Colloquium, BASCOLA, University of Buenos Aires August 10, 2005 11:00 70. Finite dimensional simple algebras and the analogue of classicalinvariant theory for nonclassical groups V. L. Popov XVI Latin American Algebra Colloquium, Coloniadel Sacramento, Uruguay August 7, 2005 71. Projective duality and nilpotent orbits V. L. Popov Seminar of the Department of Algebra April 12, 2005 72. Generators and relations of algebras of regular functions of connected linear groups V. L. Popov Seminar of the Department of Algebra January 18, 2005 73. Polynomial automorphisms V. L. Popov The University of British Columbia, Mathematics Department November 24, 2004 15:00 74. 150 years of Invariant Theory V. L. Popov Red Raider Symposium 2004: Invariant Theory in Perspective Texas Technical University, Lubbock TX, USA November 11, 2004 10:00 75. Cayley groups V. L. Popov International Conference Arithmetic Geometry, St. Petersburg June 26, 2004 76. Проективно самодвойственные алгебраические многообразия и нильпотентные орбиты V. L. Popov Lie groups and invariant theory May 5, 2004 16:20 77. Cayley groups V. L. Popov International Conference Commutative Algebra and Algebraic Geometry in honor of Professor Miyanishi, Osaka University, Japan May 1, 2004 78. Cayley maps for algebraic groups V. L. Popov International Colloquium Algebraic Groups and Homogeneous Spaces, Bombay, India January 6, 2004 79. Finite dimensional simple algebras and the analogue of classical invariant theory for nonclassical groups V. L. Popov International workshop on Invariant Theory, Queen's University, Kingston, ON, Canada April 8, 2002

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80. Homogeneous spaces and the problems of groups actions and algebraic geometry V. L. Popov International Workshop Group Actions on Rational Varieties CRM, Montreal, Canada February 27, 2002 09:00 81. Hilbert 13th problem and algebraic groups V. L. Popov Moscow mathematical society April 4, 2000 82. Algebraic group actions and rational singularities V. L. Popov International Workshop "Trends in Commutative Algebra", Indian Institute of Technology, Bombay, January 13–15, 2000 January 14, 2000 09:00 83. Modern developments in invariant theory V. L. Popov International Workshop "Trends in Commutative Algebra", Indian Institute of Technology, Bombay, January 13–15, 2000 January 13, 2000 10:00 84. Algebraic groups of automorphisms of polynomial rings V. L. Popov Théorie des Groupes', Colloque International, Journées Solstice d'été 1999 June 8, 1999 15:15 85. Reductive subgroups of and V. L. Popov Algebraische Gruppen, Mathematisches Forschungsinstitut Oberwolfach, Germany, 05-11 April,1998 April 7, 1998 11:00 86. Orbits of parabolic subgroup acting on its unipotent radical V. L. Popov Einhüllende Algebren und Darstellungstheorie, Mathematisches Forschungsinstitut Oberwolfach, Germany, 02.11–08.11.1997 November 4, 1997 10:00 87. Kostant sections V. L. Popov Colloque International "Groupes et Algèbres" Journées Solstice d'été, Institut de Mathématiques de Jussieu, Université Paris-7 Denis Diderot, Paris June 23, 1995

Organisations Steklov Mathematical Institute of Russian Academy of Sciences, Moscow National Research University Higher School of Economics, Moscow Moscow Institute of Electronics and Mathematics — Higher School of Economics Moscow Mathematical Society

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