Colloque des sciences mathématiques du Québec

12 mars 2010 de 16 h 00 à 18 h 00 (heure de Montréal/Miami) Sur place

Recent progress on the arithmetic of noncongruence modular forms

Colloque par 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.
 

Adresse

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