## Topology Seminar: Dylan Wilson

• Date: 02/13/2019
• Time: 14:45
Lecturer(s):
Dylan Wilson, University of Chicago
Location:

University of British Columbia

Topic:

Spoke Algebras

Description:

We introduce the notion of a spoke algebra, which encodes the data of a $C_p$-equivariant cohomology equipped with a coherent system of norms. This is a generalization of the notion of an $\mathbb{E}_{\sigma}$-algebra" for the group $C_2$ and the sign representation $\sigma$. We explain several naturally occurring examples (such as certain mapping spaces) and then describe several applications. The first is a method for delooping a suitably structured space by an irreducible, 2-dimensional $C_p$-representation in two steps. The second is the construction of certain interesting $C_p$-spectra related to the odd primary Kervaire invariant problem using a version of Koszul duality for spoke algebras. This is joint work with Jeremy Hahn.

Other Information:

ESB 4133 (PIMS Lounge)