School of Mathematics Seminars and Lectures
Residual categories of Grassmannians
by Maxim Smirnov (University of Augsburg)
Friday, October 16, 2020
from
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(Asia/Kolkata)
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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. |