BIMSA > BIMSA-YMSC Tsinghua Number Theory Seminar Stacky Approach to Galois Representations
Stacky Approach to Galois Representations
Organizers
Hansheng Diao , Heng Du , Yueke Hu , Bin Xu , Yihang Zhu
Speaker
Grigory Andreychev
Time
Monday, December 8, 2025 10:00 AM - 11:00 AM
Venue
Shuangqing-B627
Abstract
In ongoing joint work with Maximilian Hauck and Tasos Moulinos, we investigate the étale realization functor from prismatic $F$-gauges to Galois representations of $\mathbb{Q}_p$ with coefficients in $\mathbb{Z}_p$; 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.