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Persons: Popov Vladimir Leonidovich Persons: Popov Vladimir Leonidovich http://www.mathnet.ru/php/person.phtml?&personid=8935&option_la... RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PERSONAL OFFICE 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 Стр. 1 из 21 13.08.2018, 9:13 Persons: Popov Vladimir Leonidovich http://www.mathnet.ru/php/person.phtml?&personid=8935&option_la... 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). ====================================== 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). Стр. 2 из 21 13.08.2018, 9:13 Persons: Popov Vladimir Leonidovich http://www.mathnet.ru/php/person.phtml?&personid=8935&option_la... ● 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
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