14/01/2010, 15:00 — 16:00 — Room P3.10, Mathematics Building Gonçalo Tabuada, Universidade Nova de Lisboa
Non-commutative motives
In this talk I will describe the construction of the category of non-commutative motives in Drinfeld-Kontsevich's non-commutative 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 show how these results allow us to obtain for free the higher Chern character from K-theory to cyclic homology.
