Jenny August: Contraction Algebras and the Homological Minimal Model Program

Title: Contraction Algebras and the Homological Minimal Model Program

Speaker: Jenny August

Abstract: Contraction algebras are a class of finite dimensional algebras introduced by Donovan and Wemyss as a tool to study minimal models of 3-folds or more generally, flopping contractions. In this talk, I will give an introduction to these algebras, including the key conjecture in this area which states that the derived category of such an algebra completely controls the associated geometry. I will then go on to give evidence towards this conjecture by providing a complete description of the derived equivalence class of these algebras.

Keywords: derived category, flopping contractions, tilting complexes