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SUMMARY:Graded Tambara functors - Anna Marie Bohmann (Vanderbilt Universit
 y)
DTSTART:20180816T103000Z
DTEND:20180816T113000Z
UID:TALK108814@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Let E be a G-spectrum for a finite group G. It&#39\;s long bee
 n known that homotopy groups of E have the structure of "Mackey functors."
  If E is G commutative ring spectrum\, then work of Strickland and of Brun
  shows that the zeroth homotopy groups of E form a "Tambara functor."  Thi
 s is more structure than just a Mackey functor with commutative multiplica
 tion and there is much recent work investigating nuances of this structure
 .  I will discuss work with Vigleik Angeltveit that extends this result to
  include the higher homotopy groups of E. Specifically\, if E has a commut
 ative multiplication that enjoys lots of structure with respect to the G a
 ction\, the homotopy groups of E form a graded Tambara functor. In particu
 lar\, genuine commutative G ring spectra enjoy this property.
LOCATION:Seminar Room 1\, Newton Institute
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