PIRSA:20060025

Cotangent complexes of moduli spaces and Ginzburg dg algebras

Scherotzke, S. (2020). Cotangent complexes of moduli spaces and Ginzburg dg algebras. Perimeter Institute. https://pirsa.org/20060025

Scherotzke, Sarah. Cotangent complexes of moduli spaces and Ginzburg dg algebras. Perimeter Institute, Jun. 23, 2020, https://pirsa.org/20060025 

          @misc{ pirsa_PIRSA:20060025,
            doi = {10.48660/20060025},
            url = {https://pirsa.org/20060025},
            author = {Scherotzke, Sarah},
            keywords = {Mathematical physics},
            language = {en},
            title = {Cotangent complexes of moduli spaces and Ginzburg dg algebras},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {jun},
            note = {PIRSA:20060025 see, \url{https://pirsa.org}}
          }

Sarah Scherotzke University of Luxembourg

Talk numberPIRSA:20060025
DOI10.48660/20060025
Collection
Talk Type Conference
Subject

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