Previous Conferences & Workshops

Abstract: Given an étale Zp-local system of rank n on an algebraic variety X, continuous cohomology classes of the group GLn(Zp) give rise to classes in (absolute) étale cohomology of the variety with coefficients in Qp. These characteristic classes...

A finite set $F$ in $\mathbb{Z}^d$ is a translational tile of  $\mathbb{Z}^d$ if one can cover  $\mathbb{Z}^d$ by translated copies of $F$ without any overlaps, i.e., there exists a translational tiling of $\mathbb{Z}^d$ by $F$.  Suppose that $F$ is...

Abstract: In recent work with Antieau and Nikolaus we use prismatic cohomology to compute algebraic K-theory of Z/pn and similar rings. Our approach is based on a new description of absolute prismatic cohomology, which can be made completely...

Abstract: Recently the work of Fargues--Scholze provides a geometrization of the local Langlands conjecture. It is natural to ask if in this context any form of local-global compatibility can be stated/verified. We discuss some expectations and...

Abstract: The p-adic Simpson correspondence aims to give a non-abelian generalisation of the Hodge-Tate decomposition. Following an idea of Faltings, it should relate pro-étale vector bundles on smooth rigid spaces over Cp to Higgs bundles. In this...

Abstract: Multiplier ideals and test ideals are ways to measure singularities in characteristic zero and p > 0 respectively.  In characteristic zero, multiplier ideals are computed by a sufficiently large blowup by comparing the canonical module of...

In this talk, we will show that the supremum of any centered Gaussian process can be approximated to any arbitrary accuracy by a finite dimensional Gaussian process where the dimension of the approximator is just dependent on the target error. As a...

Abstract: Since the original conjectures of Beilinson and Lichtenbaum in the 80s, several versions of motivic cohomology have been introduced and developed, notably by Voevodsky. Most classically, Bloch's higher Chow groups provide the accepted...

Sponsored by Dr. John P. Hempel and Simons Foundation

Organizers: Bhargav Bhatt (IAS/Princeton/Michigan), Johan DeJong (Columbia/IAS), Jacob Lurie (IAS)

Invited Speakers:
Kestutis Cesnavicius, Université Paris-Saclay/IAS
Pierre Colmez, IMJ-PRG/IAS
Lars...