Elden Elmanto: Motivic Steenrod operations at the bad prime

Speaker
Elden Elmanto, University of Toronto

Abstract
Away from the characteristic p, Voevodsky constructed the motivic Steenrod operations on mod-p motivic cohomology of schemes. This is a deformation of the usual Steenrod operations in algebraic topology in a precise way. In recent work with Toni Annala, we degenerated these operations to characteristic p using perfectoid methods, producing the sought-after motivic Steenrod operations at the bad prime. I will explain this method and applications, and I am also very curious to learn about what quantum Steenrod operations are.