Speaker : Dr. Hwajong Yoo (IBS CGP)
Title : The action of the Hecke operators on the component groups of modular Jacobians.
Time : 2018-01-02 (Tue) 10:00 - 11:00
Place : Seminar Room 609, Institute of Mathematics (NTU Campus)
Abstract: We will discuss some basic idea of the Deligne-Rapoport model of modular curves. Then, we will introduce the special fiber of the Neron model of modular Jacobian variety at some prime p, which exactly divides the level using the theory of Picard functors by Raynaud. Mainly, we will focus on the component group of this special fiber. The structure of this component group is already known but some Hecke actions are missing. We will complete this understanding, namely, we will compute all the Hecke actions on this group.
(This is a joint work with Taekyung Kim.)