时间：2026年11月10日（周二）15:00-16:00
地点：E14-215
报告人：王宇鹏，复旦大学
报告主题：Strongly Hodge-Tate implies de Rham
报告摘要：Let K be a cdvf of mixed characteristic (0,p) with perfect residue field, G_K be its absolute Galois group, and C be its complete algebraic closure. Let V be a B_dR-representation of G_K. It is easy to see that if V is de Rham, then for any B_dR^+-lattice L of V, L/tL, as a C-representation of G_K, is Hodge-Tate. An interesting theorem of Fontaine tells us the converse is also true：If for any B_dR^+-lattice L of V, L/tL is Hodge--Tate (such a V is called strongly Hodge-Tate)， then V is de Rham. In my talk, I will prove a similar result also holds in the high dimensional case；that is, if a B_dR^+-locally system is strongly Hodge-Tate, then it is de Rham. Joint with Hui Gao.
