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Stacky approach to Galois representations

来源: 12-05

时间:Monday, 10:00- 11:00 am December 8, 2025

地点:B627 Shuangqing Complex Building A

组织者:Hansheng Diao, Heng Du, Yueke Hu, Bin Xu, Yihang Zhu, Huajie Li

主讲人:Grigory Andreychev

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.

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