ARITHETIC GEOMETRY TEAM

May 1st (Thursday) at 2:00-4:00pm Thesis Room

Speaker: Yu Yasufuku (Brown Univ.)

Title: "Vojta's Conjecture and Blowups."

Abstract: Vojta's conjecture is a powerful conjecture in Diophantine geometry, but it is not known in most cases. In this talk, I will prove the conjecture for repeated blowups of P^2 (with respect to suitably-defined integral points), using Corvaja and Zannier's result on gcd's. I will also discuss higher-dimensional cases, as well as some general relationships between Vojta's conjecture on a variety and Vojta's conjecture on its blowup.

PREVIOUS LECTURES

February 28th (Thursday) at 2:00-4:00pm Thesis Room

Speaker: Rachel OLLIVIER (ENS Paris, Visiting Columbia)

Title: "Mod p representations of GL(2): from the finite case to the p-adic
case."