SU(2) representations for toroidal homology spheres

Series
Geometry Topology Seminar
Time
Monday, August 17, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Location
https://bluejeans.com/373562881
Speaker
Tye Lidman – NCSU
Organizer
Jennifer Hom

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.

The speaker will hold online office hours from 3:15-4:15 pm for interested graduate students and postdocs.