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SUMMARY:David Mehrle (Cornell University)
DTSTART:20211027T194500Z
DTEND:20211027T210000Z
DTSTAMP:20260423T005715Z
UID:rts/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/rts/1/">When
  free algebras are not free modules and the weird world of equivariant alg
 ebra</a>\nby David Mehrle (Cornell University) as part of Rochester topolo
 gy seminar\n\nLecture held in Hylan 1106A.\n\nAbstract\nIn homological alg
 ebra\, we take for granted that the free $\\mathbb{Z}$-algebra $\\mathbb{Z
 }$[x] is also free as a $\\mathbb{Z}$-module. This fact is crucial for cer
 tain computations in homotopy theory. We want to make some of these same c
 omputations in equivariant homotopy theory\, where $\\mathbb{Z}$-algebras 
 are replaced by incomplete Tambara functors and $\\mathbb{Z}$-modules are 
 replaced by Mackey functors. However\, a free incomplete Tambara functor i
 s almost never (i.e. with probability zero) free as a Mackey functor! In t
 his talk\, I will explain this oddity of equivariant homotopy theory and o
 ne way to resolve it. This is joint work with Mike Hill and J.D. Quigley.\
 n
LOCATION:https://researchseminars.org/talk/rts/1/
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