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The Donovan–Wemyss Conjecture via the Derived Auslander–Iyama Correspondence

Jasso, Gustavo LU ; Keller, Bernhard and Muro, Fernando (2024) Abel Symposium, 2022 In Abel Symposia 17. p.105-140
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.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Auslander correspondence, Compound Du Val singularity, Contraction algebra, Crepant resolution, Hochschild cohomology, Minimal model program
host publication
Triangulated Categories in Representation Theory and Beyond - The Abel Symposium 2022
series title
Abel Symposia
editor
Bergh, Petter Andreas ; Solberg, Øyvind and Oppermann, Steffen
volume
17
pages
36 pages
publisher
Springer Science and Business Media B.V.
conference name
Abel Symposium, 2022
conference location
Ålesund, Norway
conference dates
2022-06-06 - 2022-06-10
external identifiers
  • scopus:85200970349
ISSN
2193-2808
2197-8549
ISBN
9783031577888
DOI
10.1007/978-3-031-57789-5_4
language
English
LU publication?
yes
id
ea268cea-531d-4a12-8272-151eb5a29216
date added to LUP
2024-11-11 15:02:35
date last changed
2024-11-11 15:03:28
@inproceedings{ea268cea-531d-4a12-8272-151eb5a29216,
  abstract     = {{<p>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.</p>}},
  author       = {{Jasso, Gustavo and Keller, Bernhard and Muro, Fernando}},
  booktitle    = {{Triangulated Categories in Representation Theory and Beyond - The Abel Symposium 2022}},
  editor       = {{Bergh, Petter Andreas and Solberg, Øyvind and Oppermann, Steffen}},
  isbn         = {{9783031577888}},
  issn         = {{2193-2808}},
  keywords     = {{Auslander correspondence; Compound Du Val singularity; Contraction algebra; Crepant resolution; Hochschild cohomology; Minimal model program}},
  language     = {{eng}},
  pages        = {{105--140}},
  publisher    = {{Springer Science and Business Media B.V.}},
  series       = {{Abel Symposia}},
  title        = {{The Donovan–Wemyss Conjecture via the Derived Auslander–Iyama Correspondence}},
  url          = {{http://dx.doi.org/10.1007/978-3-031-57789-5_4}},
  doi          = {{10.1007/978-3-031-57789-5_4}},
  volume       = {{17}},
  year         = {{2024}},
}