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Stacky Approach to Galois Representations

组织者

刁晗生 , 杜衡 , 胡悦科 , Bin Xu , Yihang Zhu

演讲者

Grigory Andreychev

时间

2025年12月08日 10:00 至 11:00

地点

Shuangqing-B627

摘要

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.