AbstractsMathematics

Motivic symmetric ring spectrum representing algebraic K-theory

by Youngsoo Kim




Institution: University of Illinois – Urbana-Champaign
Department:
Year: 2010
Keywords: motivic spectrum
Record ID: 1876026
Full text PDF: http://hdl.handle.net/2142/16878


Abstract

Voevodsky showed that there is a motivic spectrum representing algebraic K-theory. We describe an equivalent spectrum that is also a symmetric ring spectrum. A coherence problem occurs when one veri???es the symmetry. It is explained and solved by introducing a category of vector bundles with strictly associative tensor product that is also strictly commutative with line bundles.