School of Mathematics Colloquium

Equivariant Steenrod Operations

by Prof. Prasit Bhattacharya (New Mexico State University)

Thursday, January 12, 2023 from to (Asia/Kolkata)
at AG-69
Abstract: Classical Steenrod operations is one of the most fundamental and
formidable tools in stable homotopy theory. It led to calculation of
homotopy groups of spheres, calculation of cobordism rings,
characteristic classes, and many other celebrated applications of homotopy
theory to geometry. However, equivariant Steenrod operations are not known
beyond the group of order 2. In this talk, I will demonstrate a geometric
construction of the classical Steenrod operations and generalize it to
construct G-equivariant Steenrod operations for any finite group G. Time
permitting, I will discuss potential applications to equivariant geometry.