Thursday 15 May 2014The integrality of modular symbols and Kato's zeta elements

Christian Wuthrich - University of Nottingham

Harrison 04 15:00-16:00

Modular symbols are certain integrals of modular forms along paths
from cusp to cusp in the upper half plane. It is known that they are
rational multiples of periods. I would like to discuss first a
criterion for when they are an integral multiple in case the modular
form corresponds to an elliptic curve over Q. As an application one
can show that certain very complicated "zeta elements" by Kato are
integral, too. This has direct application to the Birch and
Swinnerton-Dyer conjecture.

Add to calendar

Add to calendar (.ics)