## Geometry and Topology

•  Melissa Zhang, Boston College
•  Localization in Khovanov homology
•  02/14/2019
•  2:00 PM - 3:00 PM
•  C304 Wells Hall

When a topological object admits a group action, we expect that our invariants reflect this symmetry in their structure. This talk will tour the expression of link symmetries in three generations of related invariants: the Jones polynomial; its categorification, Khovanov homology; and the youngest invariant in the family, the Khovanov stable homotopy type, introduced by Lipshitz and Sarkar. I will describe how to use Lawson-Lipshitz-Sarkar's Burnside functor construction of the Lipshitz-Sarkar Khovanov homotopy type to produce localization theorems and Smith-type inequalities for the Khovanov homology of periodic links. This joint work with Matthew Stoffregen.

## Contact

Department of Mathematics
Michigan State University