Number Theory Seminar: Jacob Tsimerman (Toronto)

When:
May 17, 2018 @ 2:00 pm – 3:00 pm
2018-05-17T14:00:00-10:00
2018-05-17T15:00:00-10:00
Where:
Keller 403

Title: Transcendence results and applications in number theory

Abstract: In a pioneering paper, Pila and Zannier showed how one can prove arithmetic results (the Manin–Mumford Conjecture) using transcendental methods (the Ax–Lindemann conjecture). Their approach has since been greatly developed, and is a major ingredient in the Andre-Oort conjecture for Shimura varieties as well as the more general Zilber–Pink conjecture, that serves as a sort of flagship for the field of unlikely intersections. We’ll explain this story, focusing on the classical case of (C^times)^n and the transcendence of the exponential function.