Conférence de lancement de la Chaire Jean-Pierre Bourguignon

Contribution List

2. Mot du directeur

Emmanuel Ullmo (IHES)

1/26/24, 9:30 AM

1. Stable Homotopy Group, Higher Algebra and the Telescope Conjecture

Tomer Schlank (Hebrew University of Jerusalem)

1/26/24, 9:40 AM

A fundamental motivating problem in homotopy theory is the attempt to the study of stable homotopy groups of spheres. The mathematical object that binds stable homotopy groups together is a spectrum. Spectra are the homotopy theorist abelian groups, they have a fundamental place in algebraic topology but also appear in arithmetic geometry, differential topology, mathematical physics and...

3. Stacks in the p-adic Hodge Theory of Rigid Analytic Spaces

Arthur-César Le Bras (CNRS, Université de Strasbourg)

1/26/24, 11:15 AM

I would like to explain in this talk how questions in non-abelian p-adic Hodge theory and in the theory of locally analytic representations of p-adic groups lead to consider new geometric objects attached to rigid analytic spaces, which require to go beyond the formalism of diamonds and are naturally defined in the analytic geometry framework developed by Clausen-Scholze. Based on a joint...

4. Modularity of Abelian Surfaces

Vincent Pilloni (CNRS, Université Paris-Saclay)

1/26/24, 1:30 PM

We prove the modularity of a positive proportion of abelian surfaces over the rationals. This is joint work in progress with G. Boxer, F. Calegari and T. Gee.

5. Motives and Ring Stacks

Peter Scholze (MPIM Bonn)

1/26/24, 2:45 PM

Several interesting cohomology theories can be described through (analytic) ring stacks, e.g. de Rham, Hodge, crystalline, prismatic, Betti, and even etale cohomology under some restrictions on the base. In this talk, I will recall that to any 6-functor formalism one can associate a (presentable) symmetric monoidal ($\infty$,2)-category. Adopting an extreme Tannaka duality-point of view to...

6. Mot de clôture

Dustin Clausen (IHES)

1/26/24, 3:45 PM

Mot de clôture de Dustin Clausen, Professeur permanent et titulaire de la Chaire Jean-Pierre Bourguignon à l'IHES