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Seminar information archive ~02/25Today's seminar 02/26 | Future seminars 02/27~


Algebraic Geometry Seminar

15:30-17:00   Room #002 (Graduate School of Math. Sci. Bldg.)
Evgeny Shinder (The University of Sheffield)
Semiorthogonal decompositions for singular varieties (English)
[ Abstract ]
I will define the semiorthogonal decomposition for derived categories of singular projective varieties due to Professor 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). I will also 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.



16:00-17:00   Room #117 (Graduate School of Math. Sci. Bldg.)