Event time:

Thursday, November 30, 2006 - 11:30am to Wednesday, November 29, 2006 - 7:00pm

Location:

431 DL

Speaker:

Richard Kent

Speaker affiliation:

Brown

Event description:

In Thurston’s proof of Geometrization for

Haken manifolds, the existence of a hyperbolic structure is reduced to

a fixed point problem on Teichmueller space. The key to solving this

problem is his Bounded Image Theorem, that says that the skinning map

(a map from Teichmueller space to itself associated to a 3-manifold)

has bounded image. I’ll discuss upper and lower bounds on the diameter

of this map.