Mathematics Calendar
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Raport De Activitate Pe Anul 2009
Raport de Activitate - 2009 Colectivul IMAR January 26, 2010 1 Lucrari publicate la finele lui 2008 si necontinute in Raportul pe 2008 1.1 In reviste cotate ISI 1. Belinschi, Serban; Nica, Alexandru: On a remarkable semigroup of homomorphisms with respect to free multiplicative convolution, Indiana University Mathematics Journal, volum 57, No.4 (2008), pag. 1679 – 1713 2. D. Beltit¸˘a,K.-H. Neeb: A non-smooth continuous unitary representation of a Banach-Lie group, Journal of Lie Theory 18 (2008), no. 4, pag. 933–936. 3. C. Calinescu, J. Lepowsky, A. Milas Vertex-algebraic structure of the principal subspaces (1) of certain A1 -modules, II: higher level case , Journal of Pure and Applied Algebra, 212 (2008), pag. 1928– 1950 4. Dorin Cheptea, Kazuo Habiro, Gwenael Massuyeau: A functorial LMO invariant for Lagrangian cobordisms, Geometry & Topology 12:2 (2008), pag. 1091 – 1170 (MR 2403806) 5. Alexandru Constantinescu Hilbert Function and Betti Numbers of Algebras with Lefschetz Property of Order m, Communications in Algebra, 36 (2008), pag. 4704 – 4720 6. Bruno Benedetti, Alexandru Constantinescu, Matteo Varbaro Dimension, Depth and Zero-Divisors of the Algebra of Basic k-Covers of a Graph, Le Matematiche, Volume LXIII, Issue II, (2008) , pag. 117–156. 7. Alexandru Constantinescu, Le Dinh Nam The Standard Graded Property for Vertex Cover Algebras of Quasi-Trees, Le Matematiche, Volume LXIII, Issue II, (2008), pag. 173–183. 8. I.Aberbach, F. Enescu: Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension, Mich. Math. Journal vol. 57 (2008) special volume in honor of M. Hochster, pag. 1-16 9. -
Mathematisches Forschungsinstitut Oberwolfach Arithmetic Geometry
Mathematisches Forschungsinstitut Oberwolfach Report No. 38/2016 DOI: 10.4171/OWR/2016/38 Arithmetic Geometry Organised by Gerd Faltings, Bonn Johan de Jong, New York Peter Scholze, Bonn 7 August – 13 August 2016 Abstract. Arithmetic geometry is at the interface between algebraic geom- etry and number theory, and studies schemes over the ring of integers of number fields, or their p-adic completions. An emphasis of the workshop was on p-adic techniques, but various other aspects including Hodge theory, Arakelov theory and global questions were discussed. Mathematics Subject Classification (2010): 11G99. Introduction by the Organisers The workshop Arithmetic Geometry was well attended by over 50 participants from various backgrounds. It covered a wide range of topics in algebraic geometry and number theory, with some focus on p-adic questions. Using the theory of perfectoid spaces and related techniques, a number of results have been proved in recent years. At the conference, Caraiani, Gabber, Hansen and Liu reported on such results. In particular, Liu explained general p-adic versions of the Riemann–Hilbert and Simpson correspondences, and Caraiani reported on results on the torsion in the cohomology of Shimura varieties. This involved the geometry of the Hodge–Tate period map, which Hansen extended to a general Shimura variety, using the results reported by Liu. Moreover, Gabber proved degeneration of the Hodge spectral sequence for all proper smooth rigid spaces over nonarchimedean fields of characteristic 0, or even in families, by proving a spreading out result for proper rigid spaces to reduce to a recent result in p-adic Hodge theory. -
Rapport Annuel 2014-2015
RAPPORT ANNUEL 2014-2015 Présentation du rapport annuel 1 Programme thématique 2 Autres activités 12 Grandes Conférences et colloques 16 Les laboratoires du CRM 20 Les prix du CRM 30 Le CRM et la formation 34 Les partenariats du CRM 38 Les publications du CRM 40 Comités à la tête du CRM 41 Le CRM en chiffres 42 Luc Vinet Présentation En 2014-2015, contrairement à ce qui était le cas dans (en physique mathématique) à Charles Gale de l’Université les années récentes, le programme thématique du CRM a McGill et le prix CRM-SSC (en statistique) à Matías été consacré à un seul thème (très vaste !) : la théorie des Salibián-Barrera de l’Université de Colombie-Britannique. nombres. L’année thématique, intitulée « La théorie des Les Grandes conférences du CRM permirent au grand public nombres : de la statistique Arithmétique aux éléments Zêta », de s’initier à des sujets variés, présentés par des mathémati- a été organisée par les membres du CICMA, un laboratoire ciens chevronnés : Euler et les jets d’eau de Sans-Souci du CRM à la fine pointe de la recherche mondiale, auxquels il (par Yann Brenier), la mesure des émotions en temps réel faut ajouter Louigi Addario-Berry (du Groupe de probabilités (par Chris Danforth), le mécanisme d’Anticythère (par de Montréal). Je tiens à remercier les quatre organisateurs de James Evans) et l’optique et les solitons (par John Dudley). cette brillante année thématique : Henri Darmon de l’Univer- L’année 2014-2015 fut également importante du point de sité McGill, Chantal David de l’Université Concordia, Andrew vue de l’organisation et du financement du CRM. -
Seminar 2020 Adams Seminar 2020 סמינר אדמס תש״ף
סמינר תש״ף | Seminar 2020 Adams Seminar 2020 סמינר אדמס תש״ף Guest Lecturer Prof. Daniel A. Chamovitz Professor of Plant Pathology President, Ben-Gurion University of the Negev Editor Deborah Greniman Photographers Michal Fattal, Udi Katzman, Sasson Tiram Graphic Design Navi Katzman-Kaduri The Israel Academy of Sciences and Humanities P.O.Box 4040 Jerusalem 9104001 Tel 972-2-5676207 E-mail [email protected] www.adams.academy.ac.il The Adams Fellowships is a joint program of the late Mr. Marcel Adams of Canada and the Israel Academy of Sciences and Humanities. Chartered by law in 1961, the Israel Academy of Sciences and Humanities acts as a national focal point for Israeli scholarship in both the natural sciences and the humanities and social sciences. The Academy consists of approximately 135 of Israel’s most distinguished scientists and scholars, who, with the help of the Academy’s staff and committees, monitor and promote Israeli intellectual excellence, advise the government on scientific planning, fund and publish research of lasting merit, and maintain active contact with the broader international scientific and scholarly community. For more information, please send an e-mail to [email protected] or call 972-2-5676207. Visit our website: adams.academy.ac.il Adams Seminar 2020 | 3 The Israel Academy of Sciences and Humanities expresses its enduring appreciation for the legacy of Mr. Marcel Adams who passed away shortly after his 100th birthday. His generosity in promoting higher education in Israel lives on. Adams Fellowships Marcel Adams Hebrew-speaking philanthropist Marcel Adams, who escaped from a forced-labor camp in Romania in 1944, fought in Israel’s War of Independence and made his fortune in Montreal, has endowed the Adams Fellowship Program to support Israel’s brightest doctoral students in the natural and exact sciences each year. -
Henri Darmon
Henri Darmon Address: Dept of Math, McGill University, Burnside Hall, Montreal, PQ. E-mail: [email protected] Web Page: http://www.math.mcgill.ca/darmon Telephone: Work (514) 398-2263 Home: (514) 481-0174 Born: Oct. 22, 1965, in Paris, France. Citizenship: Canadian, French, and Swiss. Education: 1987. B.Sc. Mathematics and Computer Science, McGill University. 1991. Ph.D. Mathematics, Harvard University. Thesis: Refined class number formulas for derivatives of L-series. University Positions: 1991-1994. Princeton University, Instructor. 1994-1996. Princeton University, Assistant Professor. 1994-1997. McGill University, Assistant Professor. 1997-2000. McGill University, Associate Professor. 2000- . McGill University, Professor. 2005-2019. James McGill Professor, McGill University. Other positions: 1991-1994. Cercheur hors Qu´ebec, CICMA. 1994- . Chercheur Universitaire, CICMA. 1998- . Director, CICMA (Centre Interuniversitaire en Calcul Math´ematique Alg´ebrique). 1999- . Member, CRM (Centre de Recherches Math´ematiques). 2005-2014. External member, European network in Arithmetic Geometry. Visiting Positions: 1991. IHES, Paris. 1995. Universit´a di Pavia. 1996. Visiting member, MSRI, Berkeley. 1996. Visiting professor and guest lecturer, University of Barcelona. 1997. Visiting Professor, Universit´e Paris VI (Jussieu). 1997. Visitor, Institut Henri Poincar´e. 1998. Visiting Professor and NachDiplom lecturer, ETH, Zuric¨ h. 1999. Visiting professor, Universit`a di Pavia. 2001. Visiting professor, Universit`a di Padova. 2001. Korea Institute for Advanced Study. 2002. Visiting professor, RIMS and Saga University (Japan). 1 2003. Visiting Professor, Universit´e Paris VI, Paris. 2003. Visiting professor, Princeton University. 2004. Visiting Professor, Universit´e Paris VI, Paris. 2006. Visiting Professor, CRM, Barcelona, Spain. 2008. Visiting Professor, Universit´e Paris-Sud (Orsay). -
Mathematics Calendar
Mathematics Calendar The most comprehensive and up-to-date Mathematics Calendar information is available on e-MATH at http://www.ams.org/mathcal/. August 2005 Brown, Antonio Campillo, Max Karoubi, Jean-Louis Loday, Susan Montgomery, Adrian Ocneanu, Jose Antonio de la Pena,˜ Vladimir Mathematical Modeling of Infectious Diseases: Dynamics and Popov, Hans-Jurgen Schneider, Aron Simis, Frank Sottile, Richard Control, Institute for Mathematical Sciences, National University Stanley, Boris Tsygan, Mariusz Wodzicki. of Singapore, Singapore 118402. (May 2005, p. 568) Organizing and Scientific Committee: Walter Ferrer Santos (Co- Information: KP Chua, Administrative Officer, Institute for Mathe- ord.), Gerardo Gonzalez-Sprinberg, Alfredo Jones, Alvaro Rittatore, matical Sciences, National University of Singapore, 3 Prince George’s Andrea Solotar. Park, Singapore 118402; tel: (+65) 6874 1893; Facsimile: (+65) 6873 8292; http://www.ims.nus.edu.sg. Deadline: May 1st, 2005. Information:http://www.cmat.edu.uy/cmat/eventos/16cla/en; 1–5 14th USENIX Security Symposium, Baltimore, Maryland. (May Walter Ferrer: email: [email protected] 2005, p. 568) Description: The USENIX Security Symposium brings together 1–December 23 Pattern Formation in Large Domains, Isaac researchers, practitioners, system administrators, system pro- Newton Institute for Mathematical Sciences, Cambridge, England. grammers, and others interested in the latest advances in security (Aug. 2004, p. 834) of computer systems. Organizers: J.H.P. Dawes (Cambridge), M. Golubitsky (Houston), Information: Contact: Conference Department, email: conference@ P.C. Matthews (Nottingham), A.M. Rucklidge (Leeds). usenix.org; tel: 510-528-8649; http://www.usenix.org/sec05/. Information: http://www.newton.cam.ac.uk/programmes/PFD/; Isaac Newton Institute for Mathematical Sciences, 20 Clarkson 1–9 XVI Coloquio Latinoamericano de Algebra, Colonia, Uruguay. -
A Simple Adaptive Procedure Leading to Correlated Equilibrium1
Econometrica, Vol. 68, No. 5Ž. September, 2000 , 1127᎐1150 A SIMPLE ADAPTIVE PROCEDURE LEADING TO CORRELATED EQUILIBRIUM1 BY SERGIU HART AND ANDREU MAS-COLELL2 We propose a new and simple adaptive procedure for playing a game: ‘‘regret-match- ing.’’ In this procedure, players may depart from their current play with probabilities that are proportional to measures of regret for not having used other strategies in the past. It is shown that our adaptive procedure guarantees that, with probability one, the empirical distributions of play converge to the set of correlated equilibria of the game. KEYWORDS: Adaptive procedure, correlated equilibrium, no regret, regret-matching, simple strategies. 1. INTRODUCTION THE LEADING NONCOOPERATIVE EQUILIBRIUM NOTIONS for N-person games in strategicŽ. normal form are Nash equilibrium Ž and its refinements . and corre- lated equilibrium. In this paper we focus on the concept of correlated equilib- rium. A correlated equilibriumᎏa notion introduced by AumannŽ. 1974 ᎏcan be described as follows: Assume that, before the game is played, each player receives a private signalŽ. which does not affect the payoffs . The player may then choose his action in the game depending on this signal. A correlated equilibrium of the original game is just a Nash equilibrium of the game with the signals. Considering all possible signal structures generates all correlated equilibria. If the signals areŽ. stochastically independent across the players, it is a Nash equilibriumŽ. in mixed or pure strategies of the original game. But the signals could well be correlated, in which case new equilibria may obtain. Equivalently, a correlated equilibrium is a probability distribution on N-tuples of actions, which can be interpreted as the distribution of play instructions given to the players by some ‘‘device’’ or ‘‘referee.’’ Each player is givenᎏprivatelyᎏ instructions for his own play only; the joint distribution is known to all of them. -
ISSN: 2422-2704 Pp
ISSN: 2422-2704 2 2015 Revista tiempo&economía Bogotá-Colombia Número 2 Vol. 2 N° 2 Julio-diciembre 2015 Pp. 126 ISSN: 2422-2704 tiempo&economía Salomón Kalmanovitz Universidad de Bogotá Jorge Tadeo Lozano Editor Facultad de Ciencias Económicas y Administrativas Giuseppe De Corso Carrera 4 No 22-61, Módulo 1, Oficina 337 Coordinador Editorial Tel: (571) 2427030 Ext. 3663 Juan Carlos García Sáenz [email protected] Asistente Editorial Bogotá D. C., Colombia Comité Editorial ISSN: 2422-2704 Andrés Álvarez Universidad de los Andes - Colombia Decsi Arévalo Cecilia María Vélez White Universidad de los Andes - Colombia Rectora Carlos Brando Margarita María Peña Borrero Universidad de los Andes - Colombia Vicerrectora Académica Xavier Durán Nohemy Arias Otero Universidad de los Andes - Colombia Vicerrectora Administrativa Stefania Gallini Fernando Copete Saldarriaga Universidad Nacional de Colombia - Colombia Decano Óscar Granados Facultad de Ciencias Económicas y Administrativas Universidad Jorge Tadeo Lozano - Colombia Leonardo Pineda Serna María Teresa Ramírez Director de Investigación, Creación y Extensión Banco de la República - Colombia Jaime Melo Castiblanco James Torres Director de Publicaciones Universidad Nacional de Colombia - Colombia Joaquín Viloria de la Hoz In-House Tadeísta Banco de la República - Colombia Diseño Mary Lidia Molina Bernal Comité Científico Diagramación Susana Bandieri Universidad Nacional del Comahue – Argentina No 2 Julio-diciembre 2015 Diana Bonnet Universidad de los Andes – Colombia tiempo&economía es una publicación electrónica Marcelo Buchelli semestral editada por la Facultad de Ciencias Eco- University of Illinois at Urbana-Champaign – EE. UU nómicas y Administrativas de la Universidad Jorge Carlos Contreras Carranza Tadeo Lozano. Pontificia Universidad Católica del Perú – Perú El contenido de los artículos publicados es responsa- Carlos Marichal Salinas bilidad únicamente de los autores y no compromete El Colegio de México – México la posición editorial de la Universidad. -
David Schmeidler, Professor
David Schmeidler, Professor List of Publications and Discussion Papers: Articles in Journals David Schmeidler, Competitive equilibria in markets with a continuum of traders and incomplete preferences, Econometrica, Vol. 37, 578-86 (1969). David Schmeidler, The nucleolus of a characteristic function game, SIAM Journal of Applied Mathematics, Vol. 17, 1163-70 (1969). David Schmeidler, Fatou's Lemma in several dimensions, Proc. Amer. Math. Soc., Vol. 24, 300-6 (1970). David Schmeidler, A condition for the completeness of partial preference relations, Econometrica, Vol. 39, 403-4 (1971). David Schmeidler, Cores of exact games, I, J. Math. Anal. and Appl., Vol. 40, 214- 25 (1972). David Schmeidler, On set correspondences into uniformly convex Banach spaces, Proc. Amer. Math. Soc., Vol. 34, 97-101(1972). David Schmeidler, A remark on the core of an atomless economy, Econometrica, Vol. 40, 579-80 (1972). David Schmeidler and Karl Vind, Fair net trades, Econometrica, Vol. 40, 637-42 (1972). Jaques Dreze, Joan Gabszewicz, David Schmeidler and Karl Vind, Cores and prices in an exchange economy with an atomless sector, Econometrica, Vol. 40, 1091-108 (1972). David Schmeidler, Equilibrium points of non-atomic games, Journal of Statistical Physics, Vol. 7, 295-301 (1973). Werner Hildenbrand, David Schmeidler and Shmuel Zamir, Existence of approximate equilibria and cores, Econometrica, Vol. 41, 1159-66 (1973). Elisha A. Pazner and David Schmeidler, A difficulty in the concept of fairness, Review of Economic Studies, Vol. 41, 441-3 (1974). Elisha A. Pazner and David Schmeidler, Competitive analysis under complete ignorance, International Economic Review, Vol. 16, 246-57 (1975). Elisha A. Pazner and David Schmeidler, Social contract theory and ordinal distributive equity, Journal of Public Economics, Vol. -
Faster Regret Matching
Faster Regret Matching Dawen Wu Peking University December 2019 Abstract The regret matching algorithm proposed by Sergiu Hart is one of the most powerful iterative methods in finding correlated equilibrium. How- ever, it is possibly not efficient enough, especially in large scale problems. We first rewrite the algorithm in a computationally practical way based on the idea of the regret matrix. Moreover, the rewriting makes the orig- inal algorithm more easy to understand. Then by some modification to the original algorithm, we introduce a novel variant, namely faster regret matching. The experiment result shows that the novel algorithm has a speed advantage comparing to the original one. 1 Introduction 1.1 Game Game theory is a well-studied discipline that analysis situations of competition and cooperation between several involved players. It has a tremendous appli- cation in many areas, such as economic, warfare strategic, cloud computing. Furthermore, there are some studies about using the game theory to interpret machine learning model in recent years [1, 2]. One of the milestones in game theory [3, 4, 5] is, John von Neumann proved the famous minimax theorem for zero-sum games and showed that there is a arXiv:2001.05318v1 [cs.GT] 14 Jan 2020 stable equilibrium point for a two-player zero-sum game [6]. Later, another pioneer, John Nash proved that, at every n-player general sum game with a finite number of actions for each player, there must exist at least one Nash equilibrium. i i We now give a formal math definition of a game. Let Γ = N; S i2N ; u i2N be a finite action N-person game. -
Bayesian Game Theorists and Non-Bayesian Players*
BAYESIAN GAME THEORISTS AND Non- BAYESIAN PLAYERS Documents de travail GREDEG GREDEG Working Papers Series Guilhem Lecouteux GREDEG WP No. 2017-30 https://ideas.repec.org/s/gre/wpaper.html Les opinions exprimées dans la série des Documents de travail GREDEG sont celles des auteurs et ne reflèlent pas nécessairement celles de l’institution. Les documents n’ont pas été soumis à un rapport formel et sont donc inclus dans cette série pour obtenir des commentaires et encourager la discussion. Les droits sur les documents appartiennent aux auteurs. The views expressed in the GREDEG Working Paper Series are those of the author(s) and do not necessarily reflect those of the institution. The Working Papers have not undergone formal review and approval. Such papers are included in this series to elicit feedback and to encourage debate. Copyright belongs to the author(s). Bayesian Game Theorists and Non-Bayesian Players* Guilhem Lecouteux GREDEG Working Paper No. 2017-30 Revised version July 2018 Abstract (100 words): Bayesian game theorists claim to represent players as Bayes rational agents, maximising their expected utility given their beliefs about the choices of other players. I argue that this narrative is inconsistent with the formal structure of Bayesian game theory. This is because (i) the assumption of common belief in rationality is equivalent to equilibrium play, as in classical game theory, and (ii) the players' prior beliefs are a mere mathematical artefact and not actual beliefs hold by the players. Bayesian game theory is thus a Bayesian representation of the choice of players who are committed to play equilibrium strategy profiles. -
Seminar 2021 | א“פשת רנימס
סמינר תשפ“א | Seminar 2021 Adams Seminar 2021 סמינר אדמס תשפ“א Guest Lecturer Prof. Daniel A. Chamovitz Professor of Plant Pathology President, Ben-Gurion University of the Negev Editors Deborah Greniman, Bob Lapidot Photographer Michal Fattal Graphic Design Navi Katzman-Kaduri The Israel Academy of Sciences and Humanities P.O.Box 4040 Jerusalem 9104001 Tel 972-2-5676207 E-mail [email protected] www.adams.academy.ac.il The Adams Fellowships is a joint program of the late Mr. Marcel Adams of Canada and the Israel Academy of Sciences and Humanities. Chartered by law in 1961, the Israel Academy of Sciences and Humanities acts as a national focal point for Israeli scholarship in both the natural sciences and the humanities and social sciences. The Academy consists of approximately 135 of Israel’s most distinguished scientists and scholars, who, with the help of the Academy’s staff and committees, monitor and promote Israeli intellectual excellence, advise the government on scientific planning, fund and publish research of lasting merit, and maintain active contact with the broader international scientific and scholarly community. For more information, please send an e-mail to [email protected] or call 972-2-5676207. Visit our website: adams.academy.ac.il Adams Seminar 2021 | 3 Adams Fellowships Marcel Adams Hebrew-speaking philanthropist Marcel Adams, who escaped from a forced-labor camp in Romania in 1944, fought in Israel’s War of Independence and made his fortune in Montreal, has endowed the Adams Fellowship Program to support Israel’s brightest doctoral students in the natural and exact sciences each year.