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Seminar of Algebraic Geometry in East Asia
16:15 - 17:15, November 20, 2020 (Friday)
broadcast in Room 515, Cosmology Bldg., Online seminar
(線上演講 於宇宙學大樓515教室收播)
Semiorthogonal Decompositions for Singular Varieties
Evgeny Shinder (University of Sheffield)


I will explain a semiorthogonal decomposition for derived categories of singular projective varieties into derived categories of finite-dimensional algebras, due to Professor Kawamata, 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.
Join the seminar online, through Zoom.
會議 ID:898 855 9386


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