Slopes of modular form and ghost conjecture
组织者
刁晗生
, 胡悦科
, 埃马纽埃尔·勒库图里耶
,
凯撒·鲁普
演讲者
Bin Zhao
时间
2022年11月01日 16:00 至 17:00
地点
1131
线上
Zoom 293 812 9202
(BIMSA)
摘要
In 2016, Bergdall and Pollack raised a conjecture towards the computation of the p-adic slopes of Hecke cuspidal eigenforms whose associated p-adic Galois representations satisfy the assumption that their mod p reductions become reducible when restricted to the p-decomposition group. In this talk, I will report the joint work with Ruochuan Liu, Nha Truong and Liang Xiao to prove this conjecture under mild assumptions. I will start with the statement of this conjecture and the intuition behind it. Then I will explain some strategies of our proof. If time permits, I will mention some arithmetic applications of this conjecture.