Event Type:

Department Colloquium

Date/Time:

Monday, April 1, 2013 - 09:00 to 10:00

Location:

Kidder 364

Guest Speaker:

Fred Wilhelm

Institution:

University of California, Riverside

Abstract:

(Joint work in progress with Curtis Pro)

I will survey a problem that has a beautiful history that goes back to

Cheeger's 1967 thesis. It is connected to a large body of the Riemannian geometry

that was developed in the later part of the 20th century.

The talk will survey this history and briefly outline a strategy to prove

the following conjecture.

**Conjecture 1**. For any k in **R**, v > 0, and D > 0 there are only finitely many diffeomorphism types of Riemannian 4-manifolds with sectional curvature ≥ k; volume ≥ v, and diameter ≤ D.

Host: