2023 - T2 - Higher structures in geometry and mathematical physics

Collection 2023 - T2 - Higher structures in geometry and mathematical physics

Organizer(s) Behrend, Kai ; Fantechi, Barbara ; Laurent-Gengoux, Camille ; Stiénon, Mathieu ; Xu, Ping
Date(s) 17/04/2023 - 14/07/2023
linked URL https://indico.math.cnrs.fr/event/7893/
23 88

Cotangent complexes of moduli spaces

By Sarah Scherotzke

Also appears in collection : 2023 - T2 - WS2 - Higher structures in enumerative geometry

We explain how shifted symplectic structures on derived stacks are connected to Calabi-Yau structures on differential graded categories. More concretely, we will show that the cotangent complex to the moduli stack of a differential graded category A is isomorphic to the moduli stack of the Calabi-Yau completion of A, answering a conjecture of Keller-Yeung.

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