## PIMS/UBC Distinguished Colloquium: Benedict Gross

- Date: 10/10/2014
- Time: 15:00

*Harvard University*

University of British Columbia

The rank of elliptic curves

After quadratic equations in two variables come cubic equations, or elliptic curves. The set of rational points on an elliptic curve has the structure of a finitely generated abelian group. I will recall the basic theory of elliptic curves, then discuss the conjecture of Birch and Swinnerton-Dyer, which attempts to predict the rank of the group of rational points from the number of solutions (mod p) for all primes p. I will also discuss some recent results on the average rank, due to Manjul Bhargava and his collaborators. (PIMS-UBC Distinguished Colloquium)

Location: Earth Sciences Building (ESB) 2012

Preceded by a reception in PIMS Lounge (ESB 4133) at 2:30 pm