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SUMMARY:Prime spectra of bi-incomplete Tambara functors - Scott Balchin (Q
 ueen's University Belfast)
DTSTART:20250515T131500Z
DTEND:20250515T141500Z
UID:TALK230551@talks.cam.ac.uk
DESCRIPTION:Many ring-like structures come with the notion of prime ideals
  which assemble into a topological space. Tambara functors for a finite gr
 oup G are no exception to this rule. Nakaoka defined the notion of the pri
 me spectrum of a Tambara functor\, which has since been computed in severa
 l examples of interest.\nTambara functors are at an extreme of a family of
  structures where we ask for the existence of all additive transfers and m
 ultiplicative norms.&nbsp\; There is a methodical way to remove this struc
 ture via the concept of bi-incomplete Tambara functors\, which retrieves t
 he notions of Green functors and coefficient systems along the way.\nBy al
 tering Nakaoka&rsquo\;s definition one can begin to explore the prime spec
 trum for bi-incomplete Tambara functors. In this talk I will report on som
 e structural and computational results in this direction. This is joint wo
 rk with Ben Spitz and J.D. Quigley.
LOCATION:Seminar Room 1\, Newton Institute
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