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Noncommutative motives

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Goncalo Tabuada
Faculty of Science and Technology, FCT, Lissabon
Tue, 2011-07-12 14:00 - 15:00
MPIM Lecture Hall

In this talk I will describe the construction of the categories
of noncommutative motives (pure and mixed) in the spirit of Drinfeld
Kontsevich's noncommutative algebraic geometry program. In the process, I
will present the first conceptual characterization of Quillen's higher
K-theory since Quillen's foundational work in the 70's. As an application,
I will explain how these results allow us to obtain for free the higher
Chern character from K-theory to cyclic homology.


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