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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Graded Tambara functors

## Graded Tambara functorsAdd to your list(s) Download to your calendar using vCal - Anna Marie Bohmann (Vanderbilt University)
- Thursday 16 August 2018, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. HHHW02 - Equivariant and motivic homotopy theory 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. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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