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

Kai Mao

Introduction to KK-theory
Jeudi, 28 Septembre, 2023 - 17:00
Résumé : 

In this talk we will have an introduction to Kasparov's bivariant K-theory. We will start with a brief reminder about the notions of Fredholm operators, C^*-algebras and K-theory. Then, we will introduce elliptic operators over manifolds, which (likely) motivates the definition of KK-theory. Finally, we will talk about Kasparov product map and discuss several of its applications. If time permits, we will explore further topics related to the so-called assembly map and Baum-Connes' conjecture.


Institution de l'orateur : 
Université de Lorraine
Thème de recherche : 
Salle : 
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