Abstract

In 2009, Claire Amiot constructed Calabi-Yau structures on certain Verdier quotients. Our aim in this talk is to lift her construction to the differential graded level. This is a central ingredient in a recent proof of a variant of Amiot's conjecture on the structure of 2-Calabi-Yau categories with a cluster tilting object. The talk is a report on joint work with Junyang Liu.