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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:20060025  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Cotangent complexes of moduli spaces and Ginzburg dg algebras
Speaker(s): Sarah Scherotzke
Abstract: We give an introduction to the notion of moduli stack of a dg category. We explain what shifted symplectic structures are and how they are connected to Calabi-Yau structures on dg categories. More concretely, we will show that the cotangent complex to the moduli stack of a dg category A admits a modular interpretation: namely, it is isomorphic to the moduli stack of the *Calabi-Yau completion* of A. This answers a conjecture of Keller-Yeung. The talk is based on joint work This is joint work with Damien Calaque and Tristan Bozec arxiv.org/abs/2006.01069
Date: 23/06/2020 - 10:45 am
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