Quebec Mathematical Sciences Colloquium

March 12, 2010 from 16:00 to 18:00 (Montreal/Miami time) On location

Recent progress on the arithmetic of noncongruence modular forms

Colloquium presented by Winnie Li

After more than one century's effort, the arithmetic of congruence modular forms is well-understood. Contrary to this, the understanding for the arithmetic of noncongruence forms is quite primitive. A main obstacle is the lack of efficient Hecke operators. However, Atkin and Swinnerton-Dyer have come up with a conjecture which is meant to play the role of Hecke operators. Further, Scholl has attached to the space of noncongruence forms a compatible family of l-adic Galois representations. In this talk we'll survey recent progress on the arithmetic of noncongruence forms and modularity of Scholl representations.
 

Address

CRM, Pavillon André Aisenstadt, Université de Montréal, room 6214