Formes automorphes (chaire internationale) - Bảo Châu Ngô

Collège de France
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Formes automorphes (chaire internationale) - Bảo Châu Ngô

Bảo Châu Ngô est né au Vietnam en 1972. Il a fait toutes ses études universitaires en France. Admis à l'École normale supérieure en 1992 par la voie du concours international, il a ensuite obtenu un doctorat sous la direction de Gérard Laumon à l'université Paris-Sud en 1997. Il a été chargé de recherche au CNRS, affecté à l'université Paris-Nord, de 1998 au 2004. Puis il est revenu à Orsay comme professeur. Il a passé trois ans à l'Institut d'études avancées de Princeton de 2007 à 2010. Depuis 2010, il occupe une chaire de professeur distingué à l'université de Chicago. Bảo Châu Ngô est connu pour avoir forgé de nouveaux outils géométriques dont le but est de traiter avec succès des problèmes d'analyse harmonique connus sous le nom du « lemme fondamental » dans le programme de Langlands. Ces succès ont été couronnés par de nombreux prix internationaux dont la médaille Fields en 2010.

  1. 28 THG 6

    Séminaire - Luca Migliorini : The Supports of the Hitchin Fibration on the Reduced Locus

    Bảo Châu Ngô Collège de France Formes automorphes (chaire internationale) Année 2023-2024 Théorie géométrique des représentations Séminaire - Luca Migliorini : The Supports of the Hitchin Fibration on the Reduced Locus Luca Migliorini Full Professor University of Bologna Résumé I will report on recent joint work with M. Mauri and R. Pagaria which, building on my previous work with de Cataldo and Heinloth, gives a complete determination of the supports in the sense of Ngô of the Hitchin fibration (for GL_n), and the associated local systems, on the locus where the spectral curve is reduced. Luca Migliorini Professor at the University of Bologna since 2001, member of the school of Mathematics of the Institute for Advanced study in Princeton in the spring term 2007 and spring term 2015, and guest of several other institutions such as Max Planck Institut in Bonn, and Institut des Hautes études scientifiques. Author of about 40 papers, mostly focused on the topology of algebraic maps.

    59 phút

  2. 28 THG 6

    08 - Le centre de Bernstein et le cocentre : Transformation de Hankel orbitale

    Bảo Châu Ngô Collège de France Formes automorphes (chaire internationale) Année 2023-2024 08 - Le centre de Bernstein et le cocentre : Transformation de Hankel orbitale

    1 giờ 8 phút

  3. 21 THG 6

    07 - Le centre de Bernstein et le cocentre : Formule intégrale pour le noyau de Fourier

    Bảo Châu Ngô Collège de France Formes automorphes (chaire internationale) Année 2023-2024 07 - Le centre de Bernstein et le cocentre : Formule intégrale pour le noyau de Fourier

    1 giờ

  4. 14 THG 6

    Séminaire - Roman Bezrukavnikov : Invariant Distributions and Sheaves on Loop Groups

    Bảo Châu Ngô Collège de France Formes automorphes (chaire internationale) Année 2023-2024 Théorie géométrique des représentations Séminaire - Roman Bezrukavnikov : Invariant Distributions and Sheaves on Loop Groups Roman Bezrukavnikov Professor, Massachusetts Institute of Technology Résumé I will present a version of the local Langlands conjecture providing a description of the space of invariant distributions on the p-adic group in terms of the K-group of coherent sheaves on the stack of Langlands parameters. This provides a description of invariant distributions that should correspond to character sheaves on the loop group. I will explain a few special cases understood in some detail: generic depth zero L-packet studied in a joint work with Varshavsky and unipotent case which is the subject of a joint work in progress with Ciubotaru, Kazhdan and Varshavsky. Time permitting, I will mention a joint work with Charlotte Chan which is the first step towards working out some higher depth cases. Roman Bezrukavnikov I received my PhD from Tel Aviv University in 1998, having also studied at Moscow State University and Brandeis University. After holding postdoctoral and assistant professor positions at Princeton IAS, the University of Chicago and Northwestern University, as well as a long term Clay Institute fellowship, I started a faculty appointment at MIT in 2005. My visiting appointments include an FSMP Chair in Paris in 2021.

    1 giờ 3 phút

  5. 14 THG 6

    06 - Le centre de Bernstein et le cocentre : Décomposition de Bernstein du cocentre

    Bảo Châu Ngô Collège de France Formes automorphes (chaire internationale) Année 2023-2024 06 - Le centre de Bernstein et le cocentre : Décomposition de Bernstein du cocentre

    1 giờ 1 phút

  6. 7 THG 6

    05 - Le centre de Bernstein et le cocentre : Calcul de la descente

    Bảo Châu Ngô Collège de France Formes automorphes (chaire internationale) Année 2023-2024 05 - Le centre de Bernstein et le cocentre : Calcul de la descente

    1 giờ 1 phút

  7. 24 THG 5

    Séminaire - Marko Tadić : On the Problem of Unitarizability in the Case of Classical p-Adic Groups and Relation to the Automorphic Representations

    Bảo Châu Ngô Collège de France Formes automorphes (chaire internationale) Année 2023-2024 Théorie géométrique des représentations Séminaire - Marko Tadić : On the Problem of Unitarizability in the Case of Classical p-Adic Groups and Relation to the Automorphic Representations Marko Tadić Professeur, université de Zagreb Résumé In our talk we will outline possible approach to the unitarizability problem in the case of classical p-adic groups and possible role which could play automorphic representations in it. Special attention will be devoted to the question what could be the isolated representations in the unitary duals of these groups. We will review known facts and discuss some conjectures. Marko Tadić Marko Tadić graduated mathematics in 1976 and got Ph.D. in 1980 at University of Zagreb. He has been full-professor there since 1987. In 2000, he became fellow of Croatian Academy of Sciences and Arts and also member of Academia Europea. Tadić works in representation theory of reductive p–adic groups and its connections with modern theory of automorphic forms. He classified irreducible unitary representations and got formula for their characters in the case of p-adic general linear groups. He described structure expliciting interaction of parabolic induction and Jacquet modules, he got explicit construction of discrete series for classical groups (jointly with C. Mœglin), and classified several classes of irreducible unitary representations of classical p–adic groups. These are some of his contributions: Tadić has been visiting and lecturing at number of universities and institutes including University of Chicago, Université Paris 7, Max-Planck-Institute für Mathematik (Bonn), University of Utah, Sonder- forschungsbereich 170, Geometrie und Analysis (Göttingen), Mathematisches Institut Der Universität Münster, The Hong Kong University of Science and Technology, Institute of Mathematical Sciences (Singapore), Weizmann Institute of Science (Rehovot), Erwin Schrödinger International Institute for Mathematical Physics (Vienna) etc.

    1 giờ 3 phút

  8. 24 THG 5

    04 - Le centre de Bernstein et le cocentre : Transfert stable de Gelfand-Graev

    xBảo Châu Ngô Collège de France Formes automorphes (chaire internationale) Année 2023-2024 04 - Le centre de Bernstein et le cocentre : Transfert stable de Gelfand-Graev

    1 giờ 9 phút
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Giới Thiệu

Bảo Châu Ngô est né au Vietnam en 1972. Il a fait toutes ses études universitaires en France. Admis à l'École normale supérieure en 1992 par la voie du concours international, il a ensuite obtenu un doctorat sous la direction de Gérard Laumon à l'université Paris-Sud en 1997. Il a été chargé de recherche au CNRS, affecté à l'université Paris-Nord, de 1998 au 2004. Puis il est revenu à Orsay comme professeur. Il a passé trois ans à l'Institut d'études avancées de Princeton de 2007 à 2010. Depuis 2010, il occupe une chaire de professeur distingué à l'université de Chicago. Bảo Châu Ngô est connu pour avoir forgé de nouveaux outils géométriques dont le but est de traiter avec succès des problèmes d'analyse harmonique connus sous le nom du « lemme fondamental » dans le programme de Langlands. Ces succès ont été couronnés par de nombreux prix internationaux dont la médaille Fields en 2010.

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