4:00–5:00 pm
Eckhart Hall, Room 206
5734 S. University Avenue
Chicago, IL, 60637
Abstract: I will give some friendly examples introducing the period mapping. This is an analytic mapping which controls many aspects of how algebraic varieties change in families. After that I will explain joint work with Brian Lawrence which shows that one can exploit transcendence properties of the period mapping to prove results about Diophantine equations. For example we give another proof of the Mordell conjecture (originally proved by Faltings): there are onlyfinitely many rational points on an algebraic curve over
Event Type
Topics
May
21