Research-Equivariant Steenrod Operations

Research

Geometry & Topology Seminar

Equivariant Steenrod Operations

Speaker: Prasit Bhattacharya (University of Notre Dame)
Time: Nov 19, 2021, 09:00-10:00
Location: Zoom ID 846 6434 3534

Abstract

Classical Steenrod algebra is one of the most fundamental algebraic gadgets in stable homotopy theory. It led to the theory of characteristic classes, which is key to some of the most celebrated applications of homotopy theory to geometry. The G-equivariant Steenrod algebra is not known beyond the group of order 2. In this talk, I will recall a geometric construction of the classical Steenrod algebra and generalize it to construct G-equivariant Steenrod operations. Time permitting, I will discuss potential applications to equivariant geometry.