The derived critical locus and applications to COHAs

16 Sept 2024, 11:00
1h
SRS

SRS

Hotel Les Sources Chemin du Vernex 9 1865 Les Diablerets Switzerland

Speaker

Tristan Bozec (Université d'Angers)

Description

In a first part I will explain how the -1 shifted symplectic structure on the derived critical locus matches the one induced (thanks to Brav--Dyckerhoff) by a 3-Calabi--Yau one on the deformed completion (as defined by Ginzburg and more generally Keller) of a finite type dg category. This is part of a joint work with Damien Calaque and Sarah
Scherotzke.
In a second part I will try to explain how this result induces various examples of COHAs, following constructions of Kinjo, Park, Masuda, Safronov.

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