题目：The Kummer pro-étale cohomology of period sheaves
报告人：邵昕宇（Leibniz Universität Hannover）
时间：8月25日（周一），10:00-12:00
地点：格物楼315
摘要：After introducing the background of p-adic Hodge theory, I will present recent works on the p-adic cohomologies of (log) rigid analytic varieties over a p-adic field. Specifically, for a log rigid analytic variety X defined over C_p, we introduce a logarithmic B_dR^+-cohomology theory, serving as a deformation of log de Rham cohomology. Additionally, we establish the log de Rham-étale comparison in this setting and prove the degeneration of both the Hodge-Tate and Hodge-log de Rham spectral sequences when X is proper and log smooth. If time permits, I will further outline the proof of the semistable comparison theorem in this setting using the same approach.
