Скачать или смотреть On Amiot's Conjecture - Bernhard Keller (Université Paris Cité)

This is a recorded version of the following talk from our "New Directions in Group Theory and Triangulated Categories" series. To receive updates about this series, or to suggest speakers (including yourself), please email me at [email protected].

More details about this seminar series are here -
https://sites.google.com/view/ndgttc/...
-----------------------------------------------------------------------------
54th Meeting of "New Directions in Group Theory and Triangulated Categories"

Date: January 17, 2023; Tuesday

Time: 4 pm UK

Speaker: Bernhard Keller (Université Paris Cité)

Title: On Amiot's conjecture.

Abstract: In 2010, Claire Amiot conjectured that algebraic 2-Calabi-Yau categories with a 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 obtained in joint work with Junyang Liu and based on Van den Bergh's structure theorem for complete Calabi-Yau algebras.