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 : 001
Adresse :IHP
Description
 

 


Orateur(s) Geoffrey Janssens - Bruxelles VUB,
Titre A Reduction theorem for tau-rigid modules : string algebras ringing
Date16/03/2020
Horaire14:00 à 15:00
Résume
Motivated by (mutation) deficiencies in classical tilting theory, Adachi, Iyama and Reiten introduced the theory of support tau-tilting modules. In this talk we will be concerned with the problem of determining all support tau-tilting modules (or equivalently all basic two-term silting complexes) for various finite dimensional algebras A over an algebraically closed field. To this end, I will explain a tool that allows to reduce the problem for a given algebra to a more tractable one by repeatedly taking quotients by central elements (in the radical). In practice, it turns out that this process often spits out a string algebra for which I will present an explicit combinatorial description of the support tau-tilting modules. Also various applications, such as tau-tilting finiteness and iterated tilting mutation, to blocks of group algebras and special biserial algebras will be presented.  This is based on joint work with Florian Eisele and Theo Raedschelders.
Salle001
AdresseIHP
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