Sarah Scherotzke (University of Luxembourg)

Cotangent complexes of moduli spaces and Ginzburg dg algebras

  • Data: 01 OTTOBRE 2021  dalle 14:00 alle 15:00

  • Luogo: Aula Vitali

First, we give an introduction to the notion of moduli stack of a dg category. Then 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 is isomorphic to the moduli stack of the *Calabi-Yau completion* of A, answering a conjecture of Keller-Yeung. This is joint work with Damien Calaque and Tristan Bozec