BooksStandalone TitlesCollected Volumepp. 257–262

On perverse equivalences and rationality

  • Joseph Chuang

    City University of London, UK

  • Radha Kessar

    City University of London, UK
On perverse equivalences and rationality cover

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