Graded Tambara functors
1 hour 5 mins,
954.19 MB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
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About this item
| Description: |
Bohmann, A
Thursday 16th August 2018 - 11:30 to 12:30 |
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| Created: | 2018-08-17 15:50 |
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| Collection: | Higher structures in homotopy theory |
| Publisher: | Isaac Newton Institute |
| Copyright: | Bohmann, A |
| 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: | Let E be a G-spectrum for a finite group G. It's long been known that homotopy groups of E have the structure of "Mackey functors." If E is G commutative ring spectrum, then work of Strickland and of Brun shows that the zeroth homotopy groups of E form a "Tambara functor." This is more structure than just a Mackey functor with commutative multiplication and there is much recent work investigating nuances of this structure. I will discuss work with Vigleik Angeltveit that extends this result to include the higher homotopy groups of E. Specifically, if E has a commutative multiplication that enjoys lots of structure with respect to the G action, the homotopy groups of E form a graded Tambara functor. In particular, genuine commutative G ring spectra enjoy this property. |
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