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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