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Лекции приглашенных математиков
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Discrete Curvature and Applications Prasad Tetaliab a Georgia Institute of Technology b Emory University |
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Аннотация: Inspired by exciting developments in optimal transport and Riemannian geometry, several independent groups have formulated notions of (Ricci) curvature in discrete spaces. I will mention briefly some of these approaches, results, examples and open problems. An interesting by-product is the result (obtained jointly with Klartag, Kozma, and Ralli) that the Cheeger inequality — relating the spectral gap to the edge-isoperimetric constant — is tight for the class of abelian Cayley graphs. Website: https://mipt.ru/education/chairs/dm/education/lectures/lektsiya-professora-p-tetali.php |