Back to Algebraic Geometry Seminar: Fall 2021
Algebraic Geometry Seminar
Date: Tuesday, Dec 7, 2021
Time: 3:30PM - 4:30PM
Location: Zoom
LCB 323*
Alexander Perry
University of Michigan
Title |
Serre functors of semiorthogonal components * At 2:30pm we'll be having catered lunch + coffee in LCB 323, and will remain gathered for the talk at 3:30pm. |
Abstract |
The Serre functor of a triangulated category is one of its most important invariants, playing the role of the dualizing complex of a variety in noncommutative algebraic geometry. I will explain how to describe the Serre functors of many semiorthogonal components of varieties in terms of spherical twists. In the case of Kuznetsov components of Fano complete intersections, this leads to a proof of a conjecture of Katzarkov and Kontsevich on the dimensions of such categories, and implies the nonexistence of Serre invariant stability conditions when the degrees of the complete intersection do not all coincide. This is joint work with Alexander Kuznetsov. |
Algebraic Geometry