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SUMMARY:Loday Constructions of Tambara functors - Birgit Richter (Universi
 tät Hamburg)
DTSTART:20230612T133000Z
DTEND:20230612T143000Z
UID:TALK199867@talks.cam.ac.uk
DESCRIPTION:This paper is &nbsp\;a first step towards generalizing the Lod
 ay construction forcommutative rings&nbsp\; and ring spectra to the equiva
 riant 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-Tam
 bara functors for any finite group G.This definition builds on the Hill-Ho
 pkins notion of a G-symmetricmonoidal category and the work of Mazur\, Hil
 l-Mazur and Hoyer who prove that for any finite group and any G-Tambara fu
 nctor R&nbsp\; 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.&nbsp
 \; We investigate some ofits properties and describe it in examples.\n&nbs
 p\;
LOCATION:Seminar Room 1\, Newton Institute
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