100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Louis Funar

Chiara Sava

Bridges between representation theory and homotopy theory
Jeudi, 7 Décembre, 2023 - 17:00 à 18:00
Résumé : 

Finite dimensional algebras can be understood by studying quivers, which are sets of vertices together with sets of arrows connecting them. We can associate a quiver to the module category of an algebra as well as to its derived category. Even when we pass to a more general setting, such as derivators, which are an enhancement of the derived category, by looking at a suitable quiver, we will be able to see where representation theory meets homotopy theory. In particular, we will explain the fundamental equivalence given by the infinity-Dold Kan correspondence.

Institution de l'orateur : 
Charles University, Prague
Thème de recherche : 
Salle : 
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