EVENT DETAILS AND ABSTRACT

Title: Tilting sheaves in characteristic zero via positive characteristic geometry
Speaker: Ted Stadnik
Speaker Info: Northwestern
Brief Description:
Special Note:
Abstract:

I will discuss the main result of Beilinson’s “Coherent sheaves on P^n and problems of linear algebra” (over the complex numbers). Using semi-continuity, I will then prove this theorem (over the complex numbers) by passing to positive characteristic and making trivial observations about the Frobenius morphism. Afterwards, I will discuss some aspects of Azumaya algebras and the ring of crystalline differential operators in positive characteristic. The purpose of this talk is to motivate a technique of finding tilting bundles on other (complex) projective spaces by passing to large positive characteristic.