Asymptotic geometry of Riemannian nilpotent groups

Abstract: Asymptotic cones of Riemannian nilpotent Lie groups are Carnot groups. The volume of balls in Carnot groups grows exactly as a power of the radius. Heuristically, the better the asymptotic cone approximates a Riemannian group, the closer to a polynomial the volume growth becomes. I will discuss several results obtained over the last few years in collaboration with Breuillard, Nalon, Nicolussi Golo, and Ryoo.

differential geometrygroup theorygeometric topologymetric geometry

Audience: researchers in the topic

Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Differential geometry.

The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, fill the following form: docs.google.com/forms/d/e/1FAIpQLSdKrJ-nivgjr7ZVJmIY0qkN-VbzTl5NHHNyg6nNsCqjhB-4WA/viewform?usp=sf_link.