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Noncommutative Geometry Conference
17 декабря 2020 г. 16:00, online


Towards dimension theory for spectral semi- orthogonal decompositions

M. L. Kontsevich

Institut des Hautes Études Scientifiques

Аннотация: It is expected that the derived category of coherent sheaves on a smooth projective variety has a canonical semiorthogonal decomposition governed by the generic spectrum of quantum multiplication deformed by algebraic classes. I present a hypothetical formula for the Serre dimension of elementary pieces for complete interesections in projective spaces, and sketch applications to the rationality questions.

Язык доклада: английский

* Meeting ID: 816 4070 0608


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