Prasit Bhattacharya
New Mexico State University
January 12, 2023
Equivariant Steenrod Operations: 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.
New Mexico State University
January 12, 2023
Equivariant Steenrod Operations: 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.