Colloquium - Brian Lawrence

Date: December 14, 2021

Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Brian Lawrence, University of California, Los Angeles

Description:
Title: Integral points on moduli spaces
Abstract: Mordell's conjecture, now a theorem of Faltings, states that an algebraic curve of genus at least two has only finitely many rational points. Recent work with Venkatesh gives a new proof of Mordell's conjecture; the method gives some hope of proving finiteness results for any variety (even of higher dimension) that can be realized as a moduli space. I'll discuss some recent results in this direction.