20–24 janv. 2025
Institut Henri Poincaré
Fuseau horaire Europe/Paris

Cohomological insights into the Connes-Kasparov isomorphism

20 janv. 2025, 15:00
50m
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Orateur

Hang Wang (East China Nomal University)

Description

A Riemann-Roch type formula serves as the the cornerstone in establishing the Atiyah-Singer index theory via the K-theory method. The classical deformation-to-the-normal-cone approach offers a perspective from noncommutative geometry on formulating the analytic index. In this work, we propose a topological method that combines a Riemann-Roch theorem with deformation-to-the-normal-cone techniques to provide a cohomological depiction of the Connes-Kasparov isomorphism. This is joint work with Paulo Carrillo Rouse and Zijing Wang.

Documents de présentation

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