Stacky Approach to Galois Representations

Speaker: Grigory Andreychev (Morningside Center of Mathematics, Chinese Academy of Sciences)

Time: 2026-01-09 15:00-18:00
Location: 1210, SIMIS
Zoom Meeting ID: 889 5630 8036 Passcode: SIMIS

摘要：

Stacky Approach to Galois Representations

In 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