Algebraic K-theory and trace invariants

Details Algebraic K-theory and trace invariants Algebraic K-theory and trace invariants

2003-04-21

arxiv.org/abs/math/0304297v1

Proceedings of the ICM, Beijing 2002, vol. 2, 415--426

Mathematics

Geometric Topology

Scientific paper

The cyclotomic trace of B\"okstedt-Hsiang-Madsen, the subject of B\"okstedt's lecture at the congress in Kyoto, is a map of pro-abelian groups K_*(A) -> TR_*^.(A;p) from Quillen's algebraic K-theory to a topological refinement of Connes' cyclic homology. Over the last decade, our understanding of the target and its relation to K-theory has been significantly advanced. This and possible future development is the topic of my lecture.

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