BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:David Hume (Bristol) DTSTART:20210202T180000Z DTEND:20210202T190000Z DTSTAMP:20260423T004636Z UID:OSUGGT/24 DESCRIPTION:Title: Coarse Geometry of Groups and Spaces\nby David Hume (Bristol) as part of Ohio State Topology and Geometric Group Theory Seminar\n\n\nAbstract\nG iven two metric spaces X and Y it is natural to ask how faithfully\, from the point of view of the metric\, one can embed X into Y.\nOne way of maki ng this precise is asking whether there exists a coarse embedding of X int o Y.\n\nPositive results are plentiful and diverse\, from Assouad's embedd ing theorem for doubling metric spaces to the elementary fact that any fin itely generated subgroup of a finitely generated group is coarsely embedde d with respect to word metrics. Moreover\, the consequences of admitting a coarse embedding into a sufficiently nice space can be very strong. By co ntrast\, there are few invariants which provide obstructions to coarse emb eddings\, leaving many elementary geometric questions open.\nI will presen t new families of invariants which resolve some of these questions. In par ticular I will show that the Baumslag-Solitar group BS(m\,n) coarsely embe ds into some hyperbolic group if and only if |m|=|n|=1.\n LOCATION:https://researchseminars.org/talk/OSUGGT/24/ END:VEVENT END:VCALENDAR