Mathematical Sciences Research Institute

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


Working seminar: Median spaces: Non-embedding into L^1 warm-up September 21, 2016 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) John Mackay (University of Bristol)
Description No Description
No Video Uploaded

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.

No Notes/Supplements Uploaded No Video Files Uploaded