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The K-theory of Roe algebras and the coarse Baum-Connes conjecture

Fecha de inicio
Hola, este martes a las 10:00hs tendremos el seminario virtual de Geometría Noconmutativa del Atlántico Sur (GeNoCAS).

En esta oportunidad va a hablar Jintao Deng (Waterloo)

Title: The K-theory of Roe algebras and the coarse Baum-Connes conjecture

Abstract:
The coarse Baum-Connes conjecture claims that a certain assembly is an isomorphism. It has important applications in the study of the existence of a metric with positive scalar curvature and the Novikov conjecture on the homotopy invariance of the higher signature on a manifold. In this talk, I will talk about the Roe algebras which encode the large-scale geometry of a metric space. The higher index of an elliptic operator is an element of the K-theory of this algebra. The coarse Baum-Connes conjecture provides an algorithm to compute its K-theory. I will talk our recent result that the coarse Baum-Connes conjecture holds for the relative expanders constructed by Arzhantseva and Tessera. I will also talk about a recent result on the equivariant coarse Baum-Connes conjecture. 

Join Zoom Meeting
https://exactas-uba.zoom.us/j/83915550825

Meeting ID: 839 1555 0825
Passcode: 550348


Saludos,
Guillermo Cortiñas y Gisela Tartaglia
Instituto o Unidad
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