The Donovan--Wemyss Conjecture via the Derived Auslander--Iyama Correspondence
Algebraic Geometry
2025-01-03 v3 Quantum Algebra
Representation Theory
Abstract
We provide an outline of the proof of the Donovan--Wemyss Conjecture in the context of the Homological Minimal Model Program for threefolds. The proof relies on results of August, of Hua and the second-named author, Wemyss, and on the Derived Auslander--Iyama Correspondence -- a recent result by the first- and third-named authors.
Keywords
Cite
@article{arxiv.2301.11593,
title = {The Donovan--Wemyss Conjecture via the Derived Auslander--Iyama Correspondence},
author = {Gustavo Jasso and Bernhard Keller and Fernando Muro},
journal= {arXiv preprint arXiv:2301.11593},
year = {2025}
}
Comments
25 pages. v4: Corrected several minor typos. v3: New title; final version; to appear in the proceedings of the Abel Symposium 2022: Triangulated categories in representation theory and beyond