Group embeddings and coarse differentiation

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• Seung-Yeon Ryoo (CALTECH (California Institute of Technology))
• Tuesday 07 October 2025, 10:15-11:15
• Seminar Room 1, Newton Institute.

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OGGW03 - Spectral gaps

We present results on embeddings of groups of polynomial growth into Euclidean and L^{p spaces. More precisely, if the group is not virtually abelian, the ball of radius n incurs bilipschitz distortion sqrt(log n) into L}2 spaces and into a Euclidean space whose dimension depends only on the group. We present a coarse differentiation technique in a more abstract setting and discuss its implications on embeddability. Part of this talk is based on a result joint with Hyun Chul Jang.

This talk is part of the Isaac Newton Institute Seminar Series series.

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