Title: Iwasawa Theory for Modular Forms
Speaker: Antonio Lei (Monash)
Abstract: Kato's main conjecture for modular forms relates an Euler system to some cohomology group. In this talk, I will explain how it can be reformulated in terms of p-adic L-functions and Selmer groups. In the ordinary case, this is straightforward using the Poitou-Tate exact sequence. It is more complicated for the non-ordinary case because the classical p-adic L-functions and Selmer groups do not behave nicely. I will explain how to get round this by using some machineries from p-adic Hodge Theory.