Noncommutative motives

Speaker:

Goncalo Tabuada

Affiliation:

Faculty of Science and Technology, FCT, Lissabon

Date:

Tue, 12/07/2011 - 14:00 - 15:00

Location:

MPIM Lecture Hall [2]

Parent event:

Seminar on Algebra, Geometry and Physics [3]

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.