PIRSA:20060025 Conference Mathematical physics

DOI10.48660/20060025

Conference/School: Geometric Representation Theory

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}}
}

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

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