March 12, 2010 from 16:00 to 18:00 (Montreal/Miami time) On location
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.
AddressCRM, Pavillon André Aisenstadt, UniversitÃ© de Montréal, room 6214