University of Illinois Urbana-Champaign

Motivic symmetric ring spectrum representing algebraic K-theory

Kim, Youngsoo

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Kim_Youngsoo.pdf

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https://hdl.handle.net/2142/16878

Description

Title
Motivic symmetric ring spectrum representing algebraic K-theory
Author(s)
Kim, Youngsoo
Issue Date
2010-08-20T18:00:36Z
Director of Research (if dissertation) or Advisor (if thesis)
Grayson, Daniel R.
Doctoral Committee Chair(s)
McCarthy, Randy
Committee Member(s)
  • Grayson, Daniel R.
  • Ando, Matthew
  • Rezk, Charles
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Date of Ingest
2010-08-20T18:00:36Z
Keyword(s)
  • motivic spectrum
  • algebraic K-theory
  • ring spectrum
  • standard vector bundles
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 verifies 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.
Graduation Semester
2010-08
Permalink
http://hdl.handle.net/2142/16878
Copyright and License Information
Copyright 2010 Youngsoo Kim

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