Title: Four Steenrod Squares on Khovanov Homology

Speaker: Advika Rajapakse, UCLA

Abstract: The Steenrod squares are a set of stable cohomology operations on a space. Applying these operations to the odd Khovanov spectra, constructed by Sarkar-Scaduto-Stoffregen, we obtain interesting operations on mod 2 Khovanov homology. We outline a combinatorial formula for the second Steenrod square on the odd Khovanov spectra, proving similarity with existing formulas and allowing us to compute these spectra for all prime knots up to 11 crossings.