CRM: Centro De Giorgi
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Sub-riemannian geometry and beyond, III

Coarse separation by subsets of sub-exponential growth

speaker: Oussama Bensaid

abstract: A subset S of a metric space X is said to coarsely separate X if the complement of an R-neighborhood of S contains at least two connected components with arbitrarily large balls. We are interested in the volume growth of such separating subsets. We show that symmetric spaces of non-compact type (except the real hyperbolic plane), higher rank thick Euclidean buildings and Bourdon's hyperbolic buildings do not admit a coarse separating subset of sub-exponential growth.

Thu 22 Jun, 15:00 - 15:30, Aula Dini
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