On Amiot's conjecture

Speaker: Professor Bernhard Keller (University of Paris)

Time: 9:30-10:30am, Jan. 10, 2022

Place: 玉泉校区工商楼105  

Abstract:

In 2010, Claire Amiot conjectured that algebraic 2-Calabi-Yau categories with cluster-tilting object must come from quivers with potential. This would extend a structure theorem obtained with Idun Reiten in the case where the endomorphism algebra of the cluster-tilting object is hereditary. Many other classes of examples are also known. We will report on recent progress in the general case.