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SUMMARY:David Mehrle (Cornell University)
DTSTART:20211027T194500Z
DTEND:20211027T210000Z
DTSTAMP:20260404T145131Z
UID:rts/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/rts/1
 /">When free algebras are not free modules and the weird world of equivari
 ant algebra</a>\nby David Mehrle (Cornell University) as part of Rochester
  topology seminar\n\nLecture held in Hylan 1106A.\n\nAbstract\nIn homologi
 cal algebra\, we take for granted that the free $\\mathbb{Z}$-algebra $\\m
 athbb{Z}$[x] is also free as a $\\mathbb{Z}$-module. This fact is crucial 
 for certain computations in homotopy theory. We want to make some of these
  same computations in equivariant homotopy theory\, where $\\mathbb{Z}$-al
 gebras are replaced by incomplete Tambara functors and $\\mathbb{Z}$-modul
 es are replaced by Mackey functors. However\, a free incomplete Tambara fu
 nctor is almost never (i.e. with probability zero) free as a Mackey functo
 r! In this talk\, I will explain this oddity of equivariant homotopy theor
 y and one way to resolve it. This is joint work with Mike Hill and J.D. Qu
 igley.\n
LOCATION:https://stable.researchseminars.org/talk/rts/1/
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