Wednesday, February 16, 2022 3:15 PM
Ovidiu Munteanu (UCONN)

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 sharp comparison estimates assuming only a scalar curvature bound. The talk will present these results, their applications, and describe how dimension three is used in the proofs.