School of Mathematics Seminars and Lectures

Residual categories of Grassmannians

by Maxim Smirnov (University of Augsburg)

Friday, October 16, 2020 from to (Asia/Kolkata)
at over zoom
Description
Abstract:
Exceptional collections in derived categories of coherent sheaves have a
long history going back to the pioneering work of A. Beilinson. After
recalling the general setup, I will concentrate on some recent
developments inspired by the homological mirror symmetry. Namely, I will
define residual categories of Lefschetz decompositions and discuss a
conjectural relation between the structure of quantum cohomology and
residual categories. I will illustrate this relationship in the case of
some isotropic Grassmannians. This is a joint work with Alexander
Kuznetsov.