Motivic normed spectra and Tambara functors
1 hour 6 mins,
584.38 MB,
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640x360,
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About this item
| 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)
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| 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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