Webinar - Diameter and Laplace eigenvalue estimates - Emilio Lauret

Geometry Webinar Am Sur/Am Sul 10

Title: Diameter and Laplace eigenvalue estimates for homogeneous Riemannian manifolds
Speaker: Emilio Lauret
Abstract: Given G a compact Lie group and K a closed subgroup of it, we will study whether the functional lambda_1(G/K,g) diam(G/K,g)^2 is bounded by above among G-invariant metrics g on the (compact) homogeneous space G/K. Here, diam(G/K,g) and lambda_1(G/K,g) denote the diameter and the smallest positive eigenvalue of the Laplace-Beltrami operator associated to (G/K,g).