Completed Cohomology and Kato's Euler System for Modular Forms
发布时间：2018年09月26日
浏览次数：6630
发布者: Meng Yu
主讲人： Yiwen Zhou (University of Chicago)
活动时间： 从 2018-09-27 14:00 到 16:00
场地： Room 82J04, Jiayibing Building, Jingchunyuan 82, BICMR
Abstract: Let f be a cuspidal Hecke eigenform of weight k ≥ 2, V_f the p-adic Galois representation attached to f. Using Emerton's work on local-global compatibility and Colmez's work on p-adic local Langlands, we can think of the modular symbol {0 - ∞} as an element in
the local Iwasawa cohomology of V_f^*. In this talk, I will show that this element coincides with Kato's Euler system, under the assumption that V_f restricted to G_Qp is absolutely irreducible.
the local Iwasawa cohomology of V_f^*. In this talk, I will show that this element coincides with Kato's Euler system, under the assumption that V_f restricted to G_Qp is absolutely irreducible.
