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# Collection Conference on Arithmetic Geometry in honor of Luc Illusie

Organizer(s) Lei Fu (Tsinghua University), Fabrice Orogozo (CNRS&IMJ-PRG), Weizhe Zheng (MCM, AMSS, CAS)
Date(s) 6/7/21 - 6/11/21
00:00:00 / 00:00:00
10 22

## Representability results for flat cohomology

Let $f:X\rightarrow S$ be a proper morphism of schemes over a field $k$ of positive characteristic, and let $G$ be a finite flat abelian group scheme over $X$. In this talk I will discuss recent representability results for the derived pushforwards $R^if_*G$. Key ingredients in proving our results is the development of a theory of compactly supported flat cohomology and description in terms of the cotangent complex in some cases. This is joint work with Daniel Bragg.

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• 01:06:10
published on June 7, 2021

## On the derived Lusztig correspondence

By Gérard Laumon

01:12:10
published on June 7, 2021

## Cohomology of stacks of shtukas

By Cong Xue

01:07:56
published on June 7, 2021

## Grothendieck–Serre in the quasi-split unramified case

By Kęstutis Česnavičius

01:02:23
published on June 7, 2021

## Prisms, prismatic neighborhoods, and p-de Rham cohomology

By Arthur Ogus

01:02:07
published on June 7, 2021

## Logarithmic abelian varieties

By Kazuya Kato

01:09:35
published on June 8, 2021

## Micro support of a constructible sheaf in mixed characteristic

By Takeshi Saito

01:14:41
published on June 8, 2021

## Logarithmic geometry and resolution of singularities

By Michael Temkin

59:03
published on June 8, 2021

## Motivic connections over a finite field

By Hélène Esnault

53:55
published on June 8, 2021

## Exponential sums and finite groups

By Nicholas Katz

01:10:20
published on June 8, 2021

## Representability results for flat cohomology

By Martin Olsson

01:06:51
published on June 9, 2021

## Cohomology of prismatic crystals

By Yichao Tian

01:03:01
published on June 9, 2021

## Basic reductions of abelian varieties

By Yunqing Tang

01:13:53
published on June 9, 2021

## Intersection cohomology of Shimura varieties and pizza

By Sophie Morel

01:10:48
published on June 9, 2021

## Height pairing and vanishing cycles

By Alexander Beilinson

01:13:42
published on June 10, 2021

## Hodge theory for non-Archimedean analytic spaces

55:31
published on June 10, 2021

By Miaofen Chen

55:27
published on June 10, 2021

## On a generalization of Colmez’s functor

By Yongquan Hu

01:08:37
published on June 10, 2021

## The absolute prismatic site

By Bhargav Bhatt

01:14:28
published on June 10, 2021

## Remarks on p-adic logarithmic cohomology theories

By Akhil Mathew

01:07:42
published on June 11, 2021

## The relative Hodge-Tate spectral sequence

By Ahmed Abbes

01:05:40
published on June 11, 2021

## Comparison of oriented products and rigid toposes

By Ofer Gabber

53:39
published on June 11, 2021

## Jet bundles and differential calculus

By Bao Chau Ngo

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