The beautiful Connes-Kasparov Isomorphism
Date(s) : 23/10/2025 iCal
17h00 - 18h00
Abstract: Today, we will overview the powerfullness of the Non-Commutative Geometry to solve some Representation Theoretic problems. We will be interested in the representation theories of a Lie group and of a maximal compact subgroup of it (like GL_n(R) and O_n(R)), and how they are related.
This problem have been historically solved in the 70’s using Representation Theory in a really brutal way by Mackey (who computed everything by hand). In the 2000’s Non-Commutative Geometry provided another approach to this problem via an astonishingly beautiful argument due to Connes, Higson and Kasparov that I will present today. This argument stands as one of the most elegant argument ever and the main purpose of this decade in Non-Commutative Geometry is to generalize it in the most possible ways : it is indeed the purpose of my PhD.
Emplacement
Luminy - salle 500-504b
Catégories
