Stacky approach to Galois representations

Organizers

Hansheng Diao, Heng Du, Yueke Hu,

Bin Xu, Yihang Zhu, Huajie Li

Speaker

Grigory Andreychev

Morningside Center of Mathematics, Chinese Academy of Sciences

Time

Monday, 10:00- 11:00 am

December 8, 2025

Venue

B627

Shuangqing Complex Building A

Abstract

In an ongoing joint work with Maximilian Hauck and Tasos Moulinos, we investigate the étale realization functor from prismatic F-gauges to Galois representations of Q_p with coefficients in Z_p; in the course of this study, we construct an analytic stack in the sense of Clausen-Scholze whose category of quasi-coherent sheaves, or to be more precisely, its category of perfect complexes, is equivalent to the bounded derived category of finitely generated Galois representations.

About the Speaker

I am a postdoctoral researcher at the Morningside Center of Mathematics in Beijing. 

My principal mathematical interests lie in the fields of arithmetic geometry, K-theory, and higher category theory. I am particularly interested in methods and structures arising in the latter two areas that can be applied to study questions in the former. I am also interested in connections between algebraic topology and algebraic geometry.

Currently, I am studying questions related to the "stacky" approach to p-adic cohomology theories. I am also investigating foundational problems concerning the higher categorical aspects of K-theory.