Examples and Counterexamples in 2-D Equivariant Bordism

Explore the intricacies of 2-dimensional equivariant bordism in this hour-long lecture by Eric Samperton from Purdue University. Delve into the fundamental question of extending finite group actions on oriented surfaces to 3-manifolds with boundaries. Begin with a concise review of concrete answers to the extension problem, as developed by Samperton and collaborators Angel, Segovia, and Uribe. Progress to an in-depth examination of various examples and counterexamples addressing the qualities of group actions on 3-manifolds, based on joint work with Marco Boggi and Carlos Segovia. Gain insights into the complexities of geometric topology and group actions through this comprehensive exploration of 2-dimensional equivariant bordism.