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Categorical and analytic invariants in Algebraic geometry 1
September 14, 2015 14:00–15:00, Moscow, Steklov Mathematical Institute
 


Non-commutative virtual structure sheaves

Yu. Toda
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MP4 471.7 Mb

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Yu. Toda


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Abstract: The moduli spaces of stable sheaves on algebraic varieties admit certain non-commutative structures, which I call quasi NC structures. In this talk, I show that the quasi NC structures on these moduli spaces arise as truncations of smooth quasi NC dg-schemes. This result is used to introduce the notion of NC virtual structure sheaves on the moduli spaces of stable sheaves which admit perfect obstruction theories. I will then show that the NC virtual structure sheaves are described in terms of Schur complexes of perfect obstruction theories.

Language: English

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