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Agenda

Ryo Fujita: Deformed Cartan matrices and generalized preprojective algebras

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mercredi 27 octobre 2021 mercredi 27 octobre 2021
+ Google Map Salle 318

In their study of deformed W-algebras associated with complex simple Lie algebras, E. Frenkel-Reshetikhin (1998) introduced certain two parameter deformations of the Cartan matrices. They play an important role in the representation theory of quantum affine algebras. In this talk, we explain a representation-theoretic interpretation of these deformed Cartan matrices and their inverses in terms of the generalized preprojective algebras recently introduced by Geiss-Leclerc-Schröer (2017). We also discuss its application to the representation theory of quantum affine algebras in connection with the theory of cluster algebras. This talk is based on a joint work with Kota Murakami (arXiv:2109.07985).  
https://indico.math.cnrs.fr/event/6864/

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indico-event-6864@indico.math.cnrs.fr
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ical
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https://indico.math.cnrs.fr/event/6864/

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