On perverse equivalences and rationality
Joseph ChuangCity University of London, UK
Radha KessarCity University of London, UK
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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.