|Date: Friday, March 09, 2018
Location: 3096 East Hall (1:10 PM to 2:00 PM)
Title: Recruitment Symposium: Rational Points on Curves
Abstract: A simple but fundamental problem in arithmetic geometry is to find the rational solutions to a system of polynomial equations. When those equations cut out a curve, the answer to this question strongly depends on a geometric invariant, called the genus. In the case of genus one curves, the number of rational solutions can be zero, finite but nonzero, or infinite. For those with at least one rational point, it is still unknown how many such curves have finitely many points. In this talk, I will discuss conjectures, heuristics, data, and theorems related to this problem.
Speaker: Wei Ho