Online Talk 

Zoom Link: https://princeton.zoom.us/j/92668943856

Typical comparison results in Riemannian geometry, such as for volume or for spectrum of the Laplacian, require Ricci curvature lower bounds. In dimension three, we can prove some related sharp comparison estimates assuming only a scalar curvature bound. The talk will present these results, their applications, and explain how dimension three is used in the proofs.