SU(2) representations for toroidal homology spheres

Conférencier:Tye Lidman, North Carolina State University

Résumé / Abstract: 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.

Le lien pour se connecter est: https://uqam.zoom.us/j/98999725241