Friday, January 14 at 3:00pm to 4:00pm
THIS TALK HAS BEEN CANCELLED
Brian Lawrence, UCLA
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.