# Overview

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### Wieslawa Niziol Aisenstadt Chair Lecture Series

#### Wieslawa Niziol: November and December 2020

Wieslawa Niziola will give a series of four lectures, the first of which will take place on November 20, 2020, as part of the Quebec Mathematical Sciences Colloquium. (Registration via the colloquium website)

The following will take place from 9:30 a.m. to 10:30 a.m. **on Monday November 30, Tuesday December 1st and Wednesday December 2, 2020**.

#### Title: Hodge Theory of p-adic analytic varieties and arithmetic applications

**Abstract:**

In recent years, a lot of attention has been given to the study of p-adic etale cohomology of p-adic varieties (not necessarily algebraic) in connexion with the p-adic Langlands program. In particular, together with Colmez and Dospinescu, we have embarked on a program to find a geometric incarnation of the p-adic local Langlands correspondance for mGL2 (mathbfQp) in terms that would make sense for more general groups.

Our study is based on Hodge Theory of p-adic analytic varieties which we had to develop for that purpose.

In my lectures I will survey our main results: the foundational theorems in Hodge Theory as well as their applications to the computation of p-adic cohomologies of p-adic symmetric spaces.

**Biography :**

Wieslawa Niziola is a Polish mathematician, director of research at CNRS, in the number theory team of IMJ-PRG , at Sorbonne University in Paris. Her research concerns arithmetic geometry, and in particular p-adic Hodge theory, Galois representations, and p-adic cohomology.

Wieslawa Niziol earned an M.S. in computer science from the University of Warsaw in 1984. She was employed as an assistant professor at the University of Warsaw from 1984 to 1988. She received her Ph.D. in 1991 from Princeton University under the supervision of Gerd Faltings.

Thereafter she held temporary positions at Harvard University, the University of Chicago and University of Minnesota before joining the University of Utah in 1996. More recently, she has spent time at the Institute for Advanced Study in 2010 as a visitor and in 2017 as a member as well as at the Mathematical Sciences Research Institute in 2014 and 2018 as part of programs on perfectoid spaces and the homological conjectures, respectively. From 2012 to 2019, Niziol was research director at CNRS, ENS Lyon, and since 2020 research director at IMJ-PRG of Sorbonne University.