seminar announcement - Sarah Scherotzke

[MEZZETTI EMILIA]

Seminar announcement
Dipartimento di Matematica e Geoscienze
Università di Trieste

Wednesday 19 January 2022, at 2 p.m.

Sarah Scherotzke (Université de Luxembourg)

Title: Cotangent complexes of moduli spaces and Ginzburg dg algebras

Abstract: 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 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. This is joint work with Damien Calaque and Tristan Bozec arxiv.org/abs/2006.01069<http://arxiv.org/abs/2006.01069>.

Venue: Room 5C, 5th floor, H2bis building, Via A. Valerio 12/1, Trieste

All those interested are much welcome to attend.



--
Emilia Mezzetti
Professore di Geometria/Professor of Geometry

Università degli Studi di Trieste / University of Trieste
Dipartimento di Matematica e Geoscienze
Sezione di Matematica e Informatica
Via A.Valerio 12/1
34127 Trieste, Italia

mezzette at units.it<mailto:mezzette at units.it>
Tel./Ph. +39 040 558 2650
skype: emiliamezzetti