Tilting Cohen-Macaulay representations

Abstract

This is a survey on recent developments in Cohen-Macaulay representations via tilting and cluster tilting theory. We explain triangle equivalences between the singularity categories of Gorenstein rings and the derived (or cluster) categories of finite dimensional algebras.

To appear in the ICM 2018 proceedings

References in corpus (1)

• d-Representation-finite self-injective algebras

Cited by in corpus (3)

• Happel's functor and homologically well-graded Iwanaga-Gorenstein algebras
• Positive Fuss-Catalan numbers and Simple-minded systems in negative Calabi-Yau categories
• Singular equivalences of functor categories via Auslander-Buchweitz approximations