School of Mathematics Colloquium
Equivariant Steenrod Operations
by Prof. Prasit Bhattacharya (New Mexico State University)
Thursday, January 12, 2023 from to (Asia/Kolkata)
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.