|Date: Wednesday, March 16, 2022
Location: 4096 East Hall (4:00 PM to 5:20 PM)
Title: Derived categories and rational points for a class of toric Fano varieties
Abstract: I will discuss forthcoming work with Matthew Ballard on using the derived category of coherent sheaves to detect the existence of rational points on a particular family of arithmetic toric Fano varieties. More precisely, I will explain how we show that a member of this family of varieties is rational if and only if its bounded derived category of coherent sheaves admits a full étale exceptional collection.
Speaker: Alicia Lamarche
Institution: University of Utah