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Seminar information archive ～02/25｜Today's seminar 02/26 | Future seminars 02/27～
2020/03/02
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)
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.
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.
2020/03/26
Colloquium
16:00-17:00 Room #117 (Graduate School of Math. Sci. Bldg.)
