Minimal surfaces and three manifold topology

Geometry & Topology
Event time: 
Tuesday, October 17, 2017 - 4:15pm to 5:15pm
Daniel Ketover
Speaker affiliation: 
Princeton University
Event description: 

In the '80s, Pitts and Rubinstein sketched some arguments to show that certain types of Heegaard surfaces in a three-manifoldcould be isotoped to be a minimal surface. I'll describe some recent work filling in the missing pieces from their sketch. I'll then explain somefurther applications of such minimal surfaces to three-manifold topology, in particular the problem of classifying the irreducible Heegaard splittings of a given three-manifold.