P-rigidity and Iwasawa mu-invariants
主 题: P-rigidity and Iwasawa mu-invariants
报告人: Professor Har Hida (University of California at Los Angeles)
时 间: 2014-12-26 15:00-16:00
地 点: 理科一号楼 1114(数学所活动)
We can expand each mod p Hilbert modular form f into a t-expansion f(t_P)_{P|p} by Serre--Tate coordinates {t_P}_{P|p} for P running over primes over p in the base totally real field. We prove f=0 if f_{t_{P'}=1}=0 for all P' not equal to a fixed factor P. Then we discuss its application to Iwasawa mu-invariants. This is a joint work with Ashay Burungale.