## Special Colloquium

David Hansen

Columbia University

Elliptic curves and p-adic L-functions

**Abstract:**I'll explain the notion of a p-adic L-function, try to motivate why one might care about such a gadget, and give some history of their construction and applications. At the end of the talk I'll discuss a recent joint work with John Bergdall in which (among other things) we construct canonical p-adic L-functions associated with modular elliptic curves over totally real number fields. This project actually began at UIC, during the 2012 Atkin workshop on elliptic curves over Q(sqrt(5)).

Meet and Greet Tea at 4:15 in SEO 300

Tuesday December 5, 2017 at 3:00 PM in SEO 636