Emplacement
Dates
Présentation
The aim of the school is to introduce graduate students to the modern categorical methods in representation theory. The three courses of the first week will focus on the basic elements required for further topics. Thus, these courses will consist on brief recollections and introductions to: Categories and modules, group actions and bisets, linear representations of finite groups and block theory. For all of them there will be training sessions in the afternoons, where problems, doubts and related questions will be discussed.
During the second week there will be three advanced courses intended to be an exposition of the recent trends in representation theory of finite groups and related algebras. The subjects of these courses will be: Blocks of finite quasi-simple groups, cohomological methods in block theory, and fusion systems and Burnside rings. Besides lectures, we are also planning four talks regarding complementary topics in algebra.
Langue officielle de l'école : anglais
Coordinateurs administratifs et scientifiques
Programme scientifique
Cours 1: "On Modules and Categories", Nadia Romero (Universidad de Guanajuato, Mexique)
Cours 2: "Introduction to Group Actions and Associated Functors", Serge Bouc (CNRS – Université de Picardie, France)
Cours 3: "Introduction to Block Theory", Robert Boltje (University of California, USA)
Cours 4: "Fusion Systems and Burnside Rings", Radu Stancu (Université de Picardie, France)
Cours 5: "The Blocks of Finite Quasi-Simple Groups", Radha Kessar (City University of London, Angleterre)
Cours 6: "Cohomological Methods in Block Theory", Markus Linckelmann (City University of London, Angleterre)
Cours 7: "Talk 1: Representations of Partially Ordered Sets and their Auslander-Reiten Quiver", Raymundo Bautista Ramos (Universidad nacional autónoma de México, Mexique)
Cours 8: "Talk 2: Correspondence Functors", Serge Bouc (CNRS – Université de Picardie, France)
Cours 9: "Talk 3: (Pseudo-)monads and their (Pseudo)-Distributive Laws", Francisco Marmolejo Rivas (Universidad nacional autónoma de México, Mexique)
Cours 10: "Talk 4: Biset Functors for Categories", Peter Webb (University of Minnesota, USA)
Site internet de l'école
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