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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Coefficients for commutative K-theory

## Coefficients for commutative K-theoryAdd to your list(s) Download to your calendar using vCal - Simon Gritschacher (University of Oxford)
- Friday 31 March 2017, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. OASW02 - Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras Recently, the study of representation spaces has led to the definition of a new cohomology theory, called commutative K-theory. This theory is a refinement of classical topological K-theory. It is defined using vector bundles whose transition functions commute with each other whenever they are simultaneously defined. I will begin the talk by discussing some general properties of the „classifying space for commutativity in a Lie group“ introduced by Adem-Gomez. Specialising to the unitary groups, I will then show that the spectrum for commutative complex K-theory is precisely the ku-group ring of infinite complex projective space. Finally, I will present some results about the real variant of commutative K-theory. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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