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Graduate Student Geometry-Topology Seminar

Monday, October 10, 2022 - 4:30pm

Maxine Calle



University of Pennsylvania

DRL 4N49

Take your favorite manifold, (carefully) cut it up into pieces, rearrange them, and glue them back together. This is called a cut-and-paste move or SK-move, and the collection of n-dimensional manifolds modulo this SK-relation forms a group. In this talk, we will explore how SK groups are related to manifold invariants and some recent developments connecting them to K-theory.