Manifolds With Curvature Bounded Below In the Spectral Sense

Explore a mathematical physics lecture on "Manifolds With Curvature Bounded Below In the Spectral Sense" presented by Gioacchino Antonelli from the Courant Institute of Mathematical Sciences. This Analysis and Mathematical Physics talk, scheduled for March 11, 2025, at 2:30pm in Simonyi Hall 101 (with remote access available) at the Institute for Advanced Study, delves into the geometry and topology of manifolds where the first eigenvalue of the operator -γΔ + Ric has a lower bound. The one-hour presentation examines the motivations and applications of this mathematical concept, covering spectral generalizations of the Bishop-Gromov and Bonnet-Myers theorems, with potential discussion of the Cheeger-Gromoll splitting theorem if time permits. The research presented represents joint work with M. Pozzetta and K. Xu.