On Amiot's Conjecture

Speaker: Professor Bernhard Keller (University of Paris)

Date: January 10 Mon. 9:30am--10:30am

Venue: Room 105, Sir Shaw Run Run Business Administration building, Yuquan Campus

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.