Séminaires : Séminaire d'Algèbre

Equipe(s) : gr,
Responsables :J. Alev, D. Hernandez, B. Keller, Th. Levasseur, et S. Morier-Genoud.
Email des responsables : Jacques Alev <jacques.alev@univ-reims.fr>, David Hernandez <david.hernandez@imj-prg.fr>, Bernhard Keller <bernhard.keller@imj-prg.fr>, Thierry Levasseur <Thierry.Levasseur@univ-brest.fr>, Sophie Morier-Genoud <sophie.morier-genoud@imj-prg.fr>
Salle : à distance
Adresse :IHP


Orateur(s) Ruari WALKER - Paris,
Titre Morita Equivalences Between KLR Algebras and VV Algebras (projet ERC QAffine)
Horaire14:00 à 15:00
RésumeA family of graded algebras have been introduced by Khovanov, Lauda and independently by Rouquier, the representation theory of which is closely related to that of the affine Hecke algebras of type A. They are often called KLR algebras, or quiver Hecke algebras, and have been the subject of intense study in past 10 years or so. More recently, Varagnolo and Vasserot have defined a new family of graded algebras whose representation theory is related to the representation theory of the affine Hecke algebras of type B. These algebras can be thought of as type B analogues of KLR algebras in some sense. During this talk I plan to explain this in a little more detail by showing how KLR algebras relate to VV algebras and by comparing their module categories via Morita equivalence. From these equivalences we can deduce properties such as affine cellularity and affine quasiheredity of certain classes of VV algebras.
Salleà distance