##### Department of Mathematics,

University of California San Diego

****************************

### Math 292 - Topology Seminar

## Eva Belmont

#### Northwestern University

## R-motivic homotopy theory and the Mahowald invariant

##### Abstract:

The Mahowald invariant is a highly nontrivial map (with indeterminacy) from the homotopy groups of spheres to itself with deep connections to chromatic homotopy theory. In this talk I will discuss a variant of the Mahowald invariant that can be computed using knowledge of the R-motivic stable homotopy groups of spheres, and discuss its comparison to the classical Mahowald invariant. This is joint work with Dan Isaksen.

Host: Zhouli Xu

### November 3, 2020

### 10:30 AM

### Zoom information: Meeting ID: 933 6734 4286 Password: topology

****************************