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Alexey Balitsky - Waists measured via Urysohn width 🔎🔍

🎞️ · 03.06.2024 · 18:02:49 ··· Montag ⭐ 7 🎬 196 📺Institut des Hautes Etudes Scientifiques (IHES)
🎬 · 03.06.2024 · 18:02:49 ··· Montag
😎 · 03.07.2024 · 15:40:29 ··· MiTTwoch
The Urysohn width measures the "approximate dimension" of a riemannian manifold by approximating it with a lower-dimensional simplicial complex. Positive scalar curvature conjecturally implies upper bounds on the width. An inductive approach to this conjecture and related ones requires understanding of the following question: If our manifold is sliced into chunks of small approximate dimension, does that imply that the manifold itself has controlled approximate dimension? I will explain a few results in that direction, mostly of negative nature.

Alexey Balitsky (Luxembourg)

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Find this and many more scientific videos on https://www.carmin.tv/ - a French video platform for mathematics and their interactions with other sciences offering extra functionalities tailored to meet the needs of the research community.

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