School of Mathematics Seminars and Lectures
Semiorthogonal decompositions for singular varieties
by Evgeny Shinder (University of Sheffield)
Friday, October 23, 2020
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Description |
Abstract: I will define a semiorthogonal decomposition for derived categories of singular projective varieties due to Kawamata, into finite-dimensional algebras, generalizing the concept of an exceptional collection in the smooth case. I will present known constructions of these for nodal curves (Burban), torsion-free toric surfaces (Karmazyn-Kuznetsov-Shinder) and two nodal threefolds (Kawamata). Finally, I will explain obstructions coming from the K_{-1} group, and how it translates to maximal nonfactoriality in the nodal threefold case. This is joint work with M.Kalck and N.Pavic. |