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Friday, April 12, 2019
3:00 PM - 5:00 PM
Linde Hall 187

Geometry and Topology Seminar

Dynamical and cohomological obstruction to extending group actions
Sam Nariman, Department of Mathematics, Northwestern University,

For any 3-manifold $M$ with torus boundary, we find finitely generated subgroups of $\Diff_0(\partial M)$ whose actions do not extend to actions on $M$; in many cases, there is even no action by homeomorphisms. The obstructions are both dynamical and cohomological in nature. If time permits, we also discuss cohomological obstruction to extending $SO(3)$ action on $S^2$ to certain $3$-manifolds that bound $S^2$. This is joint work with Kathryn Mann.

For more information, please contact Math Dept. by phone at 626-395-4335 or by email at mathinfo@caltech.edu.