Formes automorphes (chaire internationale) - Bảo Châu Ngô

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.

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

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

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.

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