Title: A Prismatic Herr Complex for Bloch–Kato Selmer Groups
Speaker: ZHAO Luming（Dalian University of Technology）
Time: 12.11 (Thursday), 10:00-11:30
Venue: Room 315, Gewu Building
Abstract:In 1998, Laurent Herr constructed a three-term complex using etale (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.
