Higher index theory and quantitative operator $K$-theory
Dapeng Zhou
16:20 pm to 17:10 pm, June 1st, 2015 Science Building A1414
Abstract:
Higher index theory are closely related to a range of mathematical
issues including topology of manifold and metrics of positive scalar curvature.
The Baum-Connes conjecture and the coarse Baum-Connes conjecture are algorithms to compute the higher indices of elliptic differential operators. The
quantitative operator $K$-theory, a refined version of classical operator $K$-theory,
is a powerful tool to study these conjectures.
In this talk, I will start with the basic de nitions and facts from higher index theory, and I will give a survey on recent development of Baum-Connes conjecture and quantitative $K$-theory method.
In this talk, I will start with the basic de nitions and facts from higher index theory, and I will give a survey on recent development of Baum-Connes conjecture and quantitative $K$-theory method.
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