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Presented By: RTG Seminar on Geometry, Dynamics and Topology - Department of Mathematics

RTG SEMINAR ON GEOMETRY, TOPOLOGY AND DYNAMICS

Prasit Bhattacharya - 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 new 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.

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