Meetings & Conferences of the AMS, Volume 49, Number 5
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Scientific Report for the Year 2000
The Erwin Schr¨odinger International Boltzmanngasse 9 ESI Institute for Mathematical Physics A-1090 Wien, Austria Scientific Report for the Year 2000 Vienna, ESI-Report 2000 March 1, 2001 Supported by Federal Ministry of Education, Science, and Culture, Austria ESI–Report 2000 ERWIN SCHRODINGER¨ INTERNATIONAL INSTITUTE OF MATHEMATICAL PHYSICS, SCIENTIFIC REPORT FOR THE YEAR 2000 ESI, Boltzmanngasse 9, A-1090 Wien, Austria March 1, 2001 Honorary President: Walter Thirring, Tel. +43-1-4277-51516. President: Jakob Yngvason: +43-1-4277-51506. [email protected] Director: Peter W. Michor: +43-1-3172047-16. [email protected] Director: Klaus Schmidt: +43-1-3172047-14. [email protected] Administration: Ulrike Fischer, Eva Kissler, Ursula Sagmeister: +43-1-3172047-12, [email protected] Computer group: Andreas Cap, Gerald Teschl, Hermann Schichl. International Scientific Advisory board: Jean-Pierre Bourguignon (IHES), Giovanni Gallavotti (Roma), Krzysztof Gawedzki (IHES), Vaughan F.R. Jones (Berkeley), Viktor Kac (MIT), Elliott Lieb (Princeton), Harald Grosse (Vienna), Harald Niederreiter (Vienna), ESI preprints are available via ‘anonymous ftp’ or ‘gopher’: FTP.ESI.AC.AT and via the URL: http://www.esi.ac.at. Table of contents General remarks . 2 Winter School in Geometry and Physics . 2 Wolfgang Pauli und die Physik des 20. Jahrhunderts . 3 Summer Session Seminar Sophus Lie . 3 PROGRAMS IN 2000 . 4 Duality, String Theory, and M-theory . 4 Confinement . 5 Representation theory . 7 Algebraic Groups, Invariant Theory, and Applications . 7 Quantum Measurement and Information . 9 CONTINUATION OF PROGRAMS FROM 1999 and earlier . 10 List of Preprints in 2000 . 13 List of seminars and colloquia outside of conferences . -
Arxiv:0707.3327V1 [Math.AP] 23 Jul 2007 Some Connections Between
Some connections between results and problems of De Giorgi, Moser and Bangert Hannes Junginger-Gestrich & Enrico Valdinoci∗ October 31, 2018 Abstract Using theorems of Bangert, we prove a rigidity result which shows how a question raised by Bangert for elliptic integrands of Moser type is connected, in the case of minimal solutions without self-intersections, to a famous conjecture of De Giorgi for phase transitions. 1 Introduction The purpose of this note is to relate some probelms posed by Moser [Mos86], Bangert [Ban89] and De Giorgi [DG79]. In particular, we point out that a rigidity result in a question raised by Bangert for the case of minimal solutions of elliptic integrands would imply a one-dimensional symmetry for minimal phase transitions connected to a famous conjecture of De Giorgi. Though the proofs we present here are mainly a straightening of the existing literature, we hope that our approach may clarify some points in these important problems and provide useful connections. 1.1 The De Giorgi setting arXiv:0707.3327v1 [math.AP] 23 Jul 2007 A classical phase transition model (known in the literature under the names of Allen, Cahn, Ginzburg, Landau, van der Vaals, etc.) consists in the study ∗Addresses: HJG, Mathematisches Institut, Albert-Ludwigs-Universit¨at Freiburg, Abteilung f¨ur Reine Mathematik, Eckerstraße 1, 79104 Freiburg im Breisgau (Germany), [email protected], EV, Dipartimento di Matemati- ca, Universit`adi Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Roma (Italy), [email protected]. The work of EV was supported by MIUR Variational Meth- ods and Nonlinear Differential Equations. -
Luis Caffarelli Lecture Notes
Luis Caffarelli Lecture Notes Broddie often melodizes stunningly when tautological Robert misforms robustiously and christens her irade. Stuffed Wojciech manoeuvre palatially, he overcrop his antibodies very sorrowfully. Sopping Giffy mystifies oracularly. The sponsors and was a review team, lecture notes that reflects exceptional mathematical analysis this item to seeing people around topics discussed are lipschitz Dirección de correo verificada de sissa. Communications on homeland and Applied Mathematics. The stamp problem it the biharmonic operator. The wreck of this lecture is void discuss three problems in homogenization and their interplay. Nirenberg should phone to study theoretical physics. Walter was a highly regarded researcher in analysis and control theory. Fundamental solutions of homogeneous fully nonlinear elliptic equations. Regularity of news free accident with application to the Pompeiu problem. Talks were uniformly excellent. Proceedings of the International Congress of Mathematicians. The nonlinear character while the equations is used in gravel essential way, whatsoever he obtains results because are the nonlinearity not slate it. Caffarelli, Luis; Silvestre, Luis. Don worked with luis caffarelli lecture notes in many years ago with students, avner variational problems in any book contains the error has had three stellar researchers. The smoothness of separate free surface tablet a filtration problem. Nike sneaker in above one week. The continuity of the temperature in the Stefan problem. Axially symmetric infinite cavities. The subtle problem every two fluids. On the regularity of reflector antennas. Nav start or be logged at this place although if instant is NOT progressively loaded. Laplacian and the water obstacle problem. Growing up with luis caffarelli lecture notes in. -
Sets with Finite Perimeter in Wiener Spaces, Perimeter Measure and Boundary Rectifiability
DISCRETE AND CONTINUOUS doi:10.3934/dcds.2010.28.591 DYNAMICAL SYSTEMS Volume 28, Number 2, October 2010 pp. 591–606 SETS WITH FINITE PERIMETER IN WIENER SPACES, PERIMETER MEASURE AND BOUNDARY RECTIFIABILITY Luigi Ambrosio Scuola Normale Superiore p.za dei Cavalieri 7 Pisa, I-56126, Italy Michele Miranda jr. Dipartimento di Matematica, Universit`adi Ferrara via Machiavelli 35 Ferrara, I-44121, Italy Diego Pallara Dipartimento di Matematica “Ennio De Giorgi”, Universit`a del Salento C.P. 193 Lecce, I-73100, Italy Abstract. We discuss some recent developments of the theory of BV func- tions and sets of finite perimeter in infinite-dimensional Gaussian spaces. In this context the concepts of Hausdorff measure, approximate continuity, recti- fiability have to be properly understood. After recalling the known facts, we prove a Sobolev-rectifiability result and we list some open problems. 1. Introduction. This paper is devoted to the theory of sets of finite perimeter in infinite-dimensional Gaussian spaces. We illustrate some recent results, we provide some new ones and eventually we discuss some open problems. We start first with a discussion of the finite-dimensional theory, referring to [13] and [3] for much more on this subject. Recall that a Borel set E Rm is said to be of ⊂ finite perimeter if there exists a vector valued measure DχE = (D1χE,...,DmχE) with finite total variation in Rm satisfying the integration by parts formula: ∂φ 1 m dx = φ dDiχE i =1,...,m, φ Cc (R ). (1) ∂x − Rm ∀ ∀ ∈ ZE i Z De Giorgi proved in [10] (see also [11]) a deep result on the structure of DχE , which could be considered as the starting point of modern Geometric Measure Theory. -
David Donoho COMMENTARY 52 Cliff Ord J
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society January 2018 Volume 65, Number 1 JMM 2018 Lecture Sampler page 6 Taking Mathematics to Heart y e n r a page 19 h C th T Ru a Columbus Meeting l i t h i page 90 a W il lia m s r e lk a W ca G Eri u n n a r C a rl ss on l l a d n a R na Da J i ll C . P ip her s e v e N ré F And e d e r i c o A rd ila s n e k c i M . E d al Ron Notices of the American Mathematical Society January 2018 FEATURED 6684 19 26 29 JMM 2018 Lecture Taking Mathematics to Graduate Student Section Sampler Heart Interview with Sharon Arroyo Conducted by Melinda Lanius Talithia Williams, Gunnar Carlsson, Alfi o Quarteroni Jill C. Pipher, Federico Ardila, Ruth WHAT IS...an Acylindrical Group Action? Charney, Erica Walker, Dana Randall, by omas Koberda André Neves, and Ronald E. Mickens AMS Graduate Student Blog All of us, wherever we are, can celebrate together here in this issue of Notices the San Diego Joint Mathematics Meetings. Our lecture sampler includes for the first time the AMS-MAA-SIAM Hrabowski-Gates-Tapia-McBay Lecture, this year by Talithia Williams on the new PBS series NOVA Wonders. After the sampler, other articles describe modeling the heart, Dürer's unfolding problem (which remains open), gerrymandering after the fall Supreme Court decision, a story for Congress about how geometry has advanced MRI, “My Father André Weil” (2018 is the 20th anniversary of his death), and a profile on Donald Knuth and native script by former Notices Senior Writer and Deputy Editor Allyn Jackson. -
Letter from the Chair Celebrating the Lives of John and Alicia Nash
Spring 2016 Issue 5 Department of Mathematics Princeton University Letter From the Chair Celebrating the Lives of John and Alicia Nash We cannot look back on the past Returning from one of the crowning year without first commenting on achievements of a long and storied the tragic loss of John and Alicia career, John Forbes Nash, Jr. and Nash, who died in a car accident on his wife Alicia were killed in a car their way home from the airport last accident on May 23, 2015, shock- May. They were returning from ing the department, the University, Norway, where John Nash was and making headlines around the awarded the 2015 Abel Prize from world. the Norwegian Academy of Sci- ence and Letters. As a 1994 Nobel Nash came to Princeton as a gradu- Prize winner and a senior research ate student in 1948. His Ph.D. thesis, mathematician in our department “Non-cooperative games” (Annals for many years, Nash maintained a of Mathematics, Vol 54, No. 2, 286- steady presence in Fine Hall, and he 95) became a seminal work in the and Alicia are greatly missed. Their then-fledgling field of game theory, life and work was celebrated during and laid the path for his 1994 Nobel a special event in October. Memorial Prize in Economics. After finishing his Ph.D. in 1950, Nash This has been a very busy and pro- held positions at the Massachusetts ductive year for our department, and Institute of Technology and the In- we have happily hosted conferences stitute for Advanced Study, where 1950s Nash began to suffer from and workshops that have attracted the breadth of his work increased. -
Meetings & Conferences of the AMS, Volume 48, Number 3
mtgs.qxp 2/2/01 12:02 PM Page 360 Meetings & Conferences of the AMS IMPORTANT INFORMATION REGARDING MEETINGS PROGRAMS: AMS Sectional Meeting programs do not appear in the print version of the Notices. However, comprehensive and continually updated meeting and program information with links to the abstract for each talk can be found on e-MATH. See http://www.ams.org/meetings/. Programs and abstracts will continue to be displayed on e-MATH in the Meetings and Conferences section until about three weeks after the meeting is over. Final programs for Sectional Meetings will be archived on e-MATH in an electronic issue of the Notices as noted below for each meeting. Carl Pomerance, Bell Laboratories - Lucent Technologies, Columbia, South Babe Ruth, Hank Aaron, Paul Erdo˝s, and me (Erdo˝s Memo- Carolina rial Lecture). Special Sessions University of South Carolina Algebraic Structures Associated with Lie Theory, Ben L. March 16–18, 2001 Cox, Elizabeth Jurisich, and Oleg Smirnov, College of Charleston. Meeting #963 Algebras, Lattices, Varieties, George F. McNulty, University Southeastern Section of South Carolina, and Ralph S. Freese and James B. Associate secretary: John L. Bryant Nation, University of Hawaii. Announcement issue of Notices: January 2001 Program first available on e-MATH: February 1, 2001 Analytic Number Theory, Michael A. Filaseta and Ognian Program issue of electronic Notices: April 2001 Trifonov, University of South Carolina, Columbia. Issue of Abstracts: Volume 22, Issue 2 Approximation and Wavelets, Konstantin Oskolkov, Pencho Petrushev, and Vladimir Temlyakov, University Deadlines of South Carolina, Columbia. For organizers: Expired For consideration of contributed papers in Special Ses- Banach Spaces, George Androulakis, Stephen Dilworth, and sions: Expired Maria K. -
Luigi Ambrosio Scuola Normale Superiore Piazza Cavalieri 7 56100 Pisa, ITALY Tel: +39 050 509255 Fax: +39 050 563513 E-Mail: [email protected]
Luigi Ambrosio Scuola Normale Superiore Piazza Cavalieri 7 56100 Pisa, ITALY tel: +39 050 509255 fax: +39 050 563513 e-mail: [email protected] EDUCATION Born in 1963 in Alba (CN), Italy 1985-1988 Scuola Normale Superiore Corso di Perfezionamento (PHD). 1981-1985 Scuola Normale Superiore Pisa, Italy. 1981-1985 Laurea in Matematica (B.S.) University of Pisa, Italy. Summa cum laude. Advisor: Prof. Ennio De Giorgi. Thesis in semicontinuity and relaxation of integral functionals defined on Sobolev spaces. PROFESSIONAL EXPERIENCE 1997{present Full Professor Scuola Normale Superiore, Pisa, Italy. 1995{1997 Full Professor Department of Mathematics, University of Pavia, Italy. 1994{1995 Full Professor University of Benevento, Italy. 1992{1994 Associate Professor University of Pisa, Italy. 1988-1992 Research Assistant Second University of Rome, Italy. HONORS Long term visiting scientist in the Max Planck Institute of Leipzig, the Massachussets Institut of Technology, the ETH of Zurich, the Institute Henri Poincar´e 1991 \Bortolozzi" Prize of Unione Matematica Italiana. 1996 National Prize for Mathematics and Mechanics of the italian Minister of Education. 1996 Invited speaker at the 2nd European congress of mathematicians in Budapest. 1999 \Caccioppoli" Prize of the Unione Matematica Italiana. 1999 Editor of \Interfaces and Free Boundaries", Main Editor of the \Journal of the Euro- pean Mathematical Society" until 2011 2000 Editor of \Archive for Rational Mechanics and Analysis" until 2011. 2002 Invited speaker at the International Congress -
A New Proof of the Uniqueness of the Flow for Ordinary Differential Equations with BV Vector Fields Maxime Hauray
A new proof of the uniqueness of the flow for ordinary differential equations with BV vector fields Maxime Hauray To cite this version: Maxime Hauray. A new proof of the uniqueness of the flow for ordinary differential equations with BV vector fields. 2009. hal-00391998 HAL Id: hal-00391998 https://hal.archives-ouvertes.fr/hal-00391998 Preprint submitted on 5 Jun 2009 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. A new proof of the uniqueness of the flow for ordinary differential equations with BV vector fields ∗ Maxime Hauray † April 3, 2009 Abstract We provide in this article a new proof of the uniqueness of the flow solution to ordinary differential equations with BV vector-fields that have divergence in L∞ (or in L1) and that are nearly incompressible (see the text for the definition of this term). The novelty of the proof lies in the fact it does not use the associated transport equation. 1 Introduction and statement of our main result In 1989, P.-L. Lions and R. DiPerna showed in [DL89] the existence and the uniqueness of the almost everywhere defined flow solution to an ordinary differential equation of the type: y˙(t) = b(t,y(t)) , (1) 1,1 1 R ∞ for W vector fields b with Lloc( t, Ly ) divergence (along with some technical assumptions). -
January 2002 Prizes and Awards
January 2002 Prizes and Awards 4:25 p.m., Monday, January 7, 2002 PROGRAM OPENING REMARKS Ann E. Watkins, President Mathematical Association of America BECKENBACH BOOK PRIZE Mathematical Association of America BÔCHER MEMORIAL PRIZE American Mathematical Society LEVI L. CONANT PRIZE American Mathematical Society LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION Association for Women in Mathematics ALICE T. S CHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN Association for Women in Mathematics CHAUVENET PRIZE Mathematical Association of America FRANK NELSON COLE PRIZE IN NUMBER THEORY American Mathematical Society AWARD FOR DISTINGUISHED PUBLIC SERVICE American Mathematical Society CERTIFICATES OF MERITORIOUS SERVICE Mathematical Association of America LEROY P. S TEELE PRIZE FOR MATHEMATICAL EXPOSITION American Mathematical Society LEROY P. S TEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH American Mathematical Society LEROY P. S TEELE PRIZE FOR LIFETIME ACHIEVEMENT American Mathematical Society DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY TEACHING OF MATHEMATICS Mathematical Association of America CLOSING REMARKS Hyman Bass, President American Mathematical Society MATHEMATICAL ASSOCIATION OF AMERICA BECKENBACH BOOK PRIZE The Beckenbach Book Prize, established in 1986, is the successor to the MAA Book Prize. It is named for the late Edwin Beckenbach, a long-time leader in the publica- tions program of the Association and a well-known professor of mathematics at the University of California at Los Angeles. The prize is awarded for distinguished, innov- ative books published by the Association. Citation Joseph Kirtland Identification Numbers and Check Digit Schemes MAA Classroom Resource Materials Series This book exploits a ubiquitous feature of daily life, identification numbers, to develop a variety of mathematical ideas, such as modular arithmetic, functions, permutations, groups, and symmetries. -
Contenido De La III Edición
Premio Fundaci6n Polar "Lorenzo Mendoza Fleury" . 1987 FUNDACION POLAR I l l Junta Directiva Presidenta: Leonor Gimenez de Mendoza Vice-Presidenta: Morella Pacheco de Pietri Directores: Pedro Berroeta Victor Gimenez Landfnez Alfredo Guinand Baldo Leopoldo Marquez Anez Orlando Perdomo Vicente Perez Davila Gustavo Roosen Carlos Eduardo Stoll< 3 Presentaci6n Nada perrnanente puede ser llevado a cabo sin una tenacidad vigilante, activa e incansable. Esa voluntad del esfuerzo continuo es la que irnpulsa tanto a los individuos corno a los pueblos y hace de ellos creadores de civilizaci6n y cultura. Porque nada se logra con la sola revelaci6n de lo nuevo. Nada del encuentro inesperado con la posible soluci6n del enigma. Nada del hallazgo de un camino distinto, sin la necesaria labor cotidiana y paciente que transforrna en realidad los sueftos. La gran fuerza de la Naturaleza es la constancia. De ella debernos aprender esa virtud para aplicarla en todos los carnpos de la actividad hurnana, ya que ninguna meta puede ser lograda sin antes haberla rnerecido. La tarea de aprender esa lecci6n sera larga y dificil, pero fructifera. A ella debernos consagramos todos. Hernos de dejar a un lado la improvisaci6n y el apresurarniento, el entusiasrno inicial que rapidarnente se esfurna y la tendencia a proponernos rnwtiples objetivos que luego desechamos por inalcanzables. Si querernos avanzar, si querernos que nuestro pueblo alcance el nivel que podria corresponderle en el campo de las ciencias, tenernos que crear en nuestra juventud el habito cientifico, que no es otra cosa sino la armoniosa conjunci6n de la observaci6n sisternatica, el juicio abierto a todas las hip6tesis, la intuici6n alerta y, sobre todo, un ritrno constante en el trabajo y la capacidad de esperar: porque µo hay ciencia sin paciencia. -
2020 Bôcher Memorial Prize
FROM THE AMS SECRETARY 2020 Bôcher Memorial Prize The 2020 Bôcher Memorial Prizes were presented at the 126th Annual Meeting of the AMS in Denver, Colorado, in January 2020. Three prizes were presented to Camillo De Lellis, Lawrence Guth, and Laure Saint-Raymond. Citation for measure theory, hyperbolic systems of conservation laws, Camillo De Lellis and fluid dynamics. The 2020 Bôcher Memorial Response from Camillo De Lellis Prize is awarded to Camillo De Lellis for his innovative point I am grateful and deeply honored to be awarded the 2020 Bôcher Prize with Larry Guth and Laure Saint-Raymond, of view on the construction of two colleagues whom I know personally and whose work continuous dissipative solu- I have admired for a long time. I am humbled by the list tions of the Euler equations, of previous recipients, but one name, Leon Simon, is par- which ultimately led to Isett’s ticularly dear to me: during one sunny Italian summer of full solution of the Onsager (slightly more than) twenty years ago his wonderful lecture conjecture, and his spectacular notes infected me with many of the themes of my future work in the regularity theory research in geometric measure theory. Camillo De Lellis of minimal surfaces, where The results mentioned in the citation stem from long he completed and improved endeavors with two dear friends and collaborators, László Almgren’s program. Examples of two papers that represent Székelyhidi Jr. and Emanuele Spadaro: without their bril- his remarkable achievements are “Dissipative Continu- liance, their enthusiasm, and their constant will of progress- ous Euler Flows,” Inventiones Mathematicae 193 (2013), ing further, we would have not gotten there.