BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vyron Vellis (University of Tennessee\, Knoxville) DTSTART:20220215T170000Z DTEND:20220215T180000Z DTSTAMP:20260423T035021Z UID:OSGA/96 DESCRIPTION:Title: Bi -Lipschitz embeddings\nby Vyron Vellis (University of Tennessee\, Knox ville) as part of Online Seminar "Geometric Analysis"\n\n\nAbstract\nTo im prove our understanding of a metric space\, it is often\nhelpful to realiz e the space within some Euclidean space. The embedding\nproblem is concern ed with recognizing those spaces which admit an embedding\ninto some Eucli dean space that does not distort its geometry too much. The\nbi-Lipschitz emebedding problem is concerned with identifying those metric\nspaces for which such an embedding exists. The embedding problem has\nrecently genera ted great interest in theoretical computer science and\, more\nspecificall y\, in graphic imaging and storage and access issues for large\ndata sets. In the first part of the talk we will examine the embeddability\nof two w ell-known sub-Riemannian manifolds\, the Grushin plane and the\nHeisenberg group. In the second part we will discuss the embeddability of\nmetric tr ees with good geometry. The talk is based on joint works with\nRomney (201 7)\, Li\, Chousionis\, and Zimmerman (2020)\, David (2020)\, and David\nan d Eriksson-Bique (2021).\n LOCATION:https://researchseminars.org/talk/OSGA/96/ END:VEVENT END:VCALENDAR