Subcategories of derived categories on affine schemes and projective curves

Abstract: I will report on my joint recent work with Alexey Elagin (arXiv:2007.02134 , arXiv:2002.06416, arXiv:1711.01492). The famous theorem of Hopkins-Neeman gives a simple geometric classification of thick subcategories of the category Perf(X) for an affine noetherian scheme X. It is natural to ask if there is a similar classification of thick subcategories of D^b(cohX) (for an affine X). I will discuss some positive and some negative results in this direction. In a different situation: surprisingly one is able to classify (up to equivalence) all thick subcategories of D^b(cohC) for a smooth projective curve.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Comments: https://us02web.zoom.us/j/87160036709 Meeting ID: 871 6003 6709 Passcode: LAGOON

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

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