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Title:
Some categorical aspects of matrix factorizations
Speaker:
Abstract:
The category of matrix factorizations can be identified with certain category of maximal Cohen-Macaulay modules over the corresponding hypersurface (or complete intersections, as in the recent work of Eisenbud-Peeva). This point of view have been exploited heavily, and is still yielding surprising insights. In this talk I will survey some recent works in this direction. One part will focus on a certain pairing on the MCM modules which has interesting connections to K-theory and other cohomology theories. Another part will discuss Avramov-Buchweitz work on support varieties and a recent result that allows us to associate to certain tensor products of matrix factorization the geometric joint of the corresponding varieties.
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