Metric differentiation and embeddings of the Heisenberg group

Robert Young (New York University)

22-Mar-2022, 17:00-18:00 (2 years ago)

Abstract: The Heisenberg group is the simplest example of a noncommutative nilpotent Lie group. In this talk, we will explore how that noncommutativity affects geometry and analysis in the Heisenberg group. We will describe why good embeddings of $\mathbb{H}$ must be bumpy at many scales, how to study embeddings into $L_1$ by studying surfaces in $\mathbb{H}$, and how to construct a metric space which embeds into $L_1$ and $L_4$ but not in $L_2$. This talk is joint work with Assaf Naor.

differential geometryfunctional analysismetric geometry

Audience: researchers in the topic


Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php

Organizers: Simon Blatt*, Philipp Reiter*, Armin Schikorra*, Guofang Wang
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