Motivic normed spectra and Tambara functors
1 hour 6 mins,
972.30 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.96 Mbits/sec
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Description: |
Bachmann, T
Thursday 16th August 2018 - 10:00 to 11:00 |
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Created: | 2018-08-17 15:48 |
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Collection: | Higher structures in homotopy theory |
Publisher: | Isaac Newton Institute |
Copyright: | Bachmann, T |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | Motivic normed spectra are a motivic analogue of the G-commutative ring spectra from genuine equivariant stable homotopy theory. The category of G-commutative ring spectra such that the underlying genuine equivariant spectrum is concentrated in degree zero (i.e. is a Mackey functor) is in fact equivalent to the category of G-Tambara functors. I will explain an analogous motivic result: the category of normed motivic spectra (over a field), such that the underlying motivic spectrum is an effective homotopy module, is equivalent to a category of homotopy invariant presheaves with generalized transfers and étale norms. |
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