Bonn Topology Group - Abstracts

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Talk

April 21, 2026
Gustavo Jasso (Universität zu Köln): The Calabi-Yau Auslander-Iyama Correspondence

Abstract

This talk reports on joint work with Fernando Muro (Sevilla). Let d be a positive integer. In previous work we established a bijective correspondence between the following classes of objects, considered up to the appropriate notion of equivalence: differential graded algebras with finite-dimensional 0-th cohomology such that the canonical generator of their perfect derived category is a basic dZ-cluster tilting object, and basic Frobenius algebras that are twisted (d+2)-periodic as bimodules. For d=1 this correspondence specialises to previous work of the second-named author on algebraic triangulated categories of finite type. In this talk, I will explain a variant of our general correspondence for bimodule right Calabi–Yau dg algebras. A novel ingredient is a new cohomology theory that we call bimodule Hochschild-Massey cohomology and which contains obstructions to the existence and uniqueness of minimal A-infinity-bimodule structures on a graded bimodule.

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