On Perverse Equivalences and Rationality

Chuang, J. & Kessar, R. (2016). On Perverse Equivalences and Rationality. In: Proceedings of the 7th European Congress of Mathematics (7ECM). . Zürich, Switzerland: European Mathematical Society Publishing House. ISBN 978-3-03719-176-7

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Abstract

We show that perverse equivalences between module categories of finite- dimensional algebras preserve rationality. As an application, we give a connection between some famous conjectures from the modular representation theory of finite groups, namely Brou ́e’s Abelian Defect Group conjecture and Donovan’s Finiteness conjectures.

Item Type: Book Section
Additional Information: This is an author accepted manuscript to be published in the proceedings of the 7th European Congress of Mathematics (7ECM) which will be published by European Mathematical Society Publishing House (http://www.ems-ph.org). Permission to add this paper to City Research Online has been granted by the publisher.
Uncontrolled Keywords: Perverse equivalence, Abelian Defect Group conjecture, Donovan’s Finiteness Conjectures
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/16509

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