Topology Seminar

Graded Tambara Functors

Anna Marie Bohmann, Vanderbilt University

Wednesday, February 6th, 2019
5:00 PM - 6:00 PM
Hylan 1106A

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 commutative ring spectrum, then work of Strickland and of Brun shows that the zeroth homotopy groups of E form a “Tambara functor.” This is more structure than just a Mackey functor with commutative multiplication 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 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 commutative G ring spectra enjoy this property.

There will be a pretalk 3:30-4:30 in Hylan 1006A.

Event contact: vlorman at ur dot rochester dot edu