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Seung-Yeon Ryoo (CALTECH (California Institute of Technology))
Tuesday 07 October 2025, 10:15-11:15
Group embeddings and coarse differentiation
â ī¸ Important: OGGW03 - Spectral gaps
- đ¤ Speaker: Seung-Yeon Ryoo (CALTECH (California Institute of Technology))
- đ Date & Time: Tuesday 07 October 2025, 10:15 - 11:15
- đ Venue: Seminar Room 1, Newton Institute
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Abstract
We present results on embeddings of groups of polynomial growth into Euclidean and Lp spaces. More precisely, if the group is not virtually abelian, the ball of radius n incurs bilipschitz distortion sqrt(log n) into L2 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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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