Classicality for overconvergent eigenforms on some Shimura varieties.

31 January 2013
16:00
Christian Johansson
Abstract
A well known theorem of Coleman states that an overconvergent modular eigenform of weight k>1 and slope less than k-1 is classical. This theorem was later reproved and generalized using a geometric method very different from Coleman's cohomological approach. In this talk I will explain how one might go about generalizing the cohomological method to some higher-dimensional Shimura varieties.
  • Number Theory Seminar