Session S38 - Geometric Potential Analysis

Thursday, July 15, 18:25 ~ 18:55 UTC-3

The doubling property on compact Lie groups

Laurent Saloff-Coste

Cornell University, United States   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In dimension $n$, all Riemannian metrics with non-negative Ricci curvature are uniformly doubling. Indeed, on any such manifold, the ratio of the volume of a ball of radius $2r$ divided by the volume of the concentric ball of radius $r$ is bounded by $2^n$. This talk is concerned with the conjecture that, for any compact Lie group $G$, there is a constant $C(G)$ such that any left-invariant metric is doubling with constant almost $C(G)$.

Joint work with Laurent Saloff-Coste, Nathaniel Eldredge (University of Northern Colorado) and Maria Gordina (University of Connecticut).

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