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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Graded Tambara functors - Anna Marie Bohmann (Vand
erbilt University)
DTSTART;TZID=Europe/London:20180816T113000
DTEND;TZID=Europe/London:20180816T123000
UID:TALK108814AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/108814
DESCRIPTION:Let E be a G-spectrum for a finite group G. It'
\;s long been known that homotopy groups of E have
the structure of "Mackey functors." If E is G com
mutative ring spectrum\, then work of Strickland a
nd of Brun shows that the zeroth homotopy groups o
f E form a "Tambara functor." This is more struct
ure than just a Mackey functor with commutative mu
ltiplication and there is much recent work investi
gating nuances of this structure. I will discuss
work with Vigleik Angeltveit that extends this res
ult to include the higher homotopy groups of E. Sp
ecifically\, if E has a commutative multiplication
that enjoys lots of structure with respect to the
G action\, the homotopy groups of E form a graded
Tambara functor. In particular\, genuine commutat
ive G ring spectra enjoy this property.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:info@newton.ac.uk
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