[SNU Number Theory Seminar 14 Apr] Homological interpretation of Hecke $L$-values over real quadratic fields

by qsms posted Mar 31, 2023
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일정시작 2023-04-14
배경색상 #FF5733
  • Date:   April 14 (Fri) 16:00 - 17:00 
  • Place:  27-325 (SNU)

  • Speaker:  Jaesung Kwon (UNIST)
  • Title:  Homological interpretation of Hecke $L$-values over real quadratic fields
  • Abstract

In this talk, I will demonstrate how to represent the Hecke $L$-values as the integral on the homology classes, which lives in the 2-dimensional complex manifolds with boundary. Also, I will construct a cyclotomic $p$-adic $L$-function, which interpolates the Hecke $L$-values, and give a criterion for the $\mu$-invariant of the $p$-adic $L$-function to be zero.