Special Colloquium
Yifeng Liu
Massachusetts Institute of Technology
Diophantine equations, Selmer groups and L-functions
Abstract: The study of elliptic curves, a special class of Diophantine equations, is a central topic in number theory. For a given elliptic curve, the Birch and Swinnerton-Dyer (B-SD) Conjecture predicts a deep relation between its solution set and an analytic invariant,
known as the L-function. The B-SD Conjecture was later vastly generalized to cases of higher dimensional varieties by Beilinson, Bloch, Kato, et al. We will discuss some new results toward this generalization.
There is a Meet & Greet Tea right after the talk in SEO 300.
Monday January 26, 2015 at 3:00 PM in SEO 636