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Topology/Geometry Seminar

SU(2) representations for toroidal homology spheres

Tye Lidman (North Carolina State University)

Location:  zoom link: https://rutgers.zoom.us/j/96839448491?pwd=NHNWcVFKTWpkRDZWcVVhVm9mYTNGUT09
Date & time: Tuesday, 01 December 2020 at 3:50PM - 4:50PM

The three-dimensional Poincare conjecture shows that any closed three-manifold other than the three-sphere has non-trivial fundamental group.  A natural question is how to measure the non-triviality of such a group, and conjecturally this can be concretely realized by a non-trivial representation to SU(2).  We will show that the fundamental groups of three-manifolds with incompressible tori admit non-trivial SU(2) representations.  This is joint work with Juanita Pinzon-Caicedo and Raphael Zentner.