Event time:

Thursday, October 19, 2006 - 12:30pm to Wednesday, October 18, 2006 - 8:00pm

Location:

431 DL

Speaker:

Dylan Thurston

Speaker affiliation:

Columbia University

Event description:

There are two natural notions of “random” for tunnel number

one 3-manifolds (that is, a manifold obtained by attaching a disk to a

genus 2 handlebody). With respect to both notions of random,

experiments show that a random manifold does not fiber over $S^1 $ when

the manifold is large enough. We prove it with respect to one notion.

The question is motivated by the virtual fibration conjecture. We use

techniques of Brown to turn the question into a group theory question

and techniques of Agol, Hass, and Thurston to study the question for

such large manifolds.

This is joint work with Nathan Dunfield.