Event Detail

Event Type: 
Department Colloquium
Monday, April 1, 2013 - 09:00 to 10:00
Kidder 364

Speaker Info

University of California, Riverside


(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.