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European Congress of Mathematics

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On perverse equivalences and rationality

Joseph Chuang^[1] and Radha Kessar^[2]

(1) City University of London, UK
(2) City University of London, UK

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 Broué’s Abelian Defect Group conjecture and Donovan’s Finiteness conjectures.

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