When:
May 5, 2017 @ 2:30 pm – 3:30 pm
2017-05-05T14:30:00-10:00
2017-05-05T15:30:00-10:00
Where:
Keller 401
Speaker: Andrei Jorza (Notre Dame)
Title: p-adic interpolations and L-functions
Abstract: The classical Birch and Swinnerton-Dyer conjecture (one of the million dollar Millenium Problems) posits a relationship between the arithmetic and complex analytic behaviors of elliptic curves. Recent progress towards this conjecture relies on the p-adic analytic behavior of these elliptic curves, which can be thought of as an intermediary between arithmetic and complex analysis. I will describe what it means to p-adically interpolate complex analytic L-functions and some p-adic analogues of the Birch and Swinnerton-Dyer conjecture.