Coefficients for commutative K-theory
57 mins 22 secs,
104.95 MB,
MP3
44100 Hz,
249.77 kbits/sec
Share this media item:
Embed this media item:
Embed this media item:
About this item
| Description: |
Gritschacher, S (University of Oxford)
Friday 31st March 2017 - 11:30 to 12:30 |
|---|
| Created: | 2017-04-04 10:16 |
|---|---|
| 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. |
|---|---|
Available Formats
| Format | Quality | Bitrate | Size | |||
|---|---|---|---|---|---|---|
| MPEG-4 Video | 640x360 | 1.94 Mbits/sec | 834.53 MB | View | Download | |
| WebM | 640x360 | 796.3 kbits/sec | 334.29 MB | View | Download | |
| iPod Video | 480x270 | 521.87 kbits/sec | 219.08 MB | View | Download | |
| MP3 * | 44100 Hz | 249.77 kbits/sec | 104.95 MB | Listen | Download | |
| Auto | (Allows browser to choose a format it supports) | |||||