Algebra/Topology Seminar

Speaker: Gustavo Jasso

Title: The Triangulated Auslander-Iyama Correspondence

Abstract: This talk is based on joint work with Fernando Muro (Sevilla). Previous work of Muro establishes the existence and uniqueness of (DG) enhancements for triangulated categories which admit an additive generator whose endomorphism algebra is finite-dimensional (over a perfect field). In this talk I will present a generalisation of this result that allows us to treat a larger class of triangulated categories, which instead admit a generator with a strong regularity property (a so-called dZ-cluster tilting object). I will explain our result as well as how, combined with crucial results of August and Hua-Keller, it leads to a positive solution of the Donovan-Wemyss Conjecture for contraction algebras as observed by Keller.