## EVENT DETAILS AND ABSTRACT

**Topology Seminar**
**Title:** The Frobenius in higher algebra

**Speaker:** Allen Yuan

**Speaker Info:** MIT

**Brief Description:**

**Special Note**:

**Abstract:**

In classical algebra, the Frobenius provides a natural endomorphism of every ring in which p=0; this determines an action of the circle on the category of F_p algebras. In higher algebra, one can do away with the characteristic p assumption and define a Frobenius map for every E-infinity ring spectrum. In this talk, I will explain the analog of the circle action. The construction of the action features equivariant homotopy theory and a calculation of a non-group-complete variant of the K theory of F_p.

**Date:** Monday, October 22, 2018

**Time:** 4:10pm

**Where:** Lunt 104

**Contact Person:** Prof. John Francis

**Contact email:** jnkf@math.northwestern.edu

**Contact Phone:** 847-491-5544

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