题目: On some applications of dg categories

报告人: Bernhard Keller (Universite Paris Cite)

时间：11月12、19、26日，12月10、17、24日，10：00-11：30

地点：管楼1418

摘要: This lecture series will be roughly divided into two parts. In the first part, we will recall classical results on the invariance and localization of Hochschild homology for dg algebras and categories. We will then apply these results to sketch the AI-assisted disproof of Han's conjecture recently obtained by Kong-Liu-Shen. In the second part, we will report on recent results by Christ and by Canesin-Cao-Janssens concerning the glueing of dg categories endowed with relative Calabi-Yau structures. Here, the motivations come from the additive categorification of cluster algebras appearing as coordinate algebras of braid varieties as shown by Casals-Gorsky-Gorsky-Le-Shen.