Home /  Working seminar: Median spaces: Non-embedding into L^1 warm-up

Seminar

Working seminar: Median spaces: Non-embedding into L^1 warm-up September 21, 2016 (02:00 PM PDT - 03:00 PM PDT)
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Location: SLMath: Eisenbud Auditorium
Speaker(s) John Mackay (University of Bristol)
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Median spaces have nice embeddings into L^1.  Embeddings into L^1 are useful e.g. in computer science, as then one gets access to good algorithms.  In 2006 Cheeger and Kleiner showed that the integer Heisenberg group does not bi-Lipschitz embed into L^1.  This talk will discuss some of this background as a warm-up for Robert Young's talk(s) later in the semester where he discusses his recent breakthrough with Assaf Naor showing that the (5-dimensional) Heisenberg group fails to embed into L^1 in essentially the worst possible way.

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