English

Tilting Cohen-Macaulay representations

Representation Theory 2018-05-15 v1 Commutative Algebra Algebraic Geometry Rings and Algebras

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.

Keywords

Cite

@article{arxiv.1805.05318,
  title  = {Tilting Cohen-Macaulay representations},
  author = {Osamu Iyama},
  journal= {arXiv preprint arXiv:1805.05318},
  year   = {2018}
}

Comments

To appear in the ICM 2018 proceedings

R2 v1 2026-06-23T01:54:28.715Z