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

## Loday Constructions of Tambara functorsAdd to your list(s) Download to your calendar using vCal - Birgit Richter (Universität Hamburg)
- Monday 12 June 2023, 14:30-15:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. HHHW06 - HHH follow on: Homotopy: fruit of the fertile furrow This paper is a first step towards generalizing the Loday construction forcommutative rings and ring spectra to the equivariant context. Brun showed that \pi_0 of every genuine commutative G ring spectrum is a G-Tambara functor. We define a Loday construction for G-Tambara functors for any finite group G.This definition builds on the Hill-Hopkins notion of a G-symmetricmonoidal category and the work of Mazur, Hill-Mazur and Hoyer who prove that for any finite group and any G-Tambara functor R there is a compatible definition of tensoringa finite G-set X with R. We extend this to a tensor product of a G-Tambara functor with a finite simplicial G-set, defining the Loday construction this way. We investigate some ofits properties and describe it in examples. 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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