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HMS symmetries of toric boundary divisors

Connections Workshop: Noncommutative Algebraic Geometry February 01, 2024 - February 02, 2024

February 01, 2024 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Špela Špenko (Université Libre de Bruxelles)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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HMS symmetries of toric boundary divisors

Abstract

Let X be a complex manifold. By homological mirror symmetry one expects an action of the fundamental group of the "moduli space of Kähler structures" of X on the derived category of X. If X is a crepant resolution of a Gorenstein affine toric variety we obtain an action on the derived category of the toric boundary divisor of X which leads to an action on the Grothendieck group of X. This is a joint work with Michel Van den Bergh.

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HMS symmetries of toric boundary divisors

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