Coefficients for commutative K-theory
57 mins 19 secs,
834.53 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.94 Mbits/sec
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Description: |
Gritschacher, S (University of Oxford)
Friday 31st March 2017 - 11:30 to 12:30 |
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Created: | 2017-04-04 10:16 |
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Collection: | Operator algebras: subfactors and their applications |
Publisher: | Isaac Newton Institute |
Copyright: | Gritschacher, S |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | 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. |
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