School Seminars and Colloquia

Iwasawa Theory for Modular Forms

Algebra/Geometry/Topology Seminar

by Antonio Lei


Institution: Monash University
Date: Mon 4th October 2010
Time: 2:00 PM
Location: Old Arts Theatre B, The University of Melbourne

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.

For More Information: contact: Craig Westerland. email: c.westerland@ms.unimelb.edu.au