Ian Kiming: Modular forms modulo prime powers
Tid: On 2018-10-03 kl 11.00 - 12.00
Plats: Room 306, building 6, Kräftriket, Department of Mathematics, Stockholm University
Medverkande: Ian Kiming (Copenhagen)
Abstract: I will give a survey of results obtained in recent years in the theory of modular forms modulo prime powers: results obtained together with Imin Chen, Nadim Rustom, and Gabor Wiese. I will talk about: the various notions of eigenforms modulo higher prime powers, attaching Galois representations to eigenforms, finiteness questions in the theory and their connection to a question by K. Buzzard, the problem of lifting eigenforms to characteristic 0, and, if time permits, a little on level optimization.
As I go along in the survey, I will address the important question of motivations for this whole area.