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A prismatic Herr complex for Bloch–Kato Selmer groups

组织者

刁晗生 , 杜衡 , 胡悦科 , Bin Xu , Yihang Zhu

演讲者

赵路明

时间

2025年12月22日 10:00 至 11:00

地点

Shuangqing-B627

摘要

In 1998, Laurent Herr constructed a three-term complex using étale (phi, Gamma)-modules to compute the Galois cohomology of corresponding Galois representations. This approach was later extended to various settings, and recently to Kummer setting via (phi, tau)-modules. Inspired by the work of Du–Liu, we will introduce a prismatic Herr complex, formulated using a prismatic version of (phi, tau)-modules attached to a (log-)crystalline representation. For a crystalline representation, this complex computes the Bloch–Kato Selmer group and relates to the cohomology of the corresponding F-gauge. The talk is based on joint work with Heng Du.