BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Karen Vogtmann (Warwick University) DTSTART:20201024T104500Z DTEND:20201024T114500Z DTSTAMP:20260415T223641Z UID:BMD2020/14 DESCRIPTION:Title: Spaces of graphs and tori\nby Karen Vogtmann (Warwick University) as part of Barcelona Mathematical Days 2020\n\nLecture held in "Edifici de l' Institut d'Estudis Catalans (IEC)". Carrer del Carme\, 47. Barcelona - Cat alunya.\n\nAbstract\nThe classical symmetric space SL(n\,R)/SO(n) is often described as a space of marked lattices in R^n (marked by a choice of bas is)\, but from another perspective it can be thought of as a space of flat n-dimensional tori\, marked by a choice of basis for the fundamental grou p Z^n. In the 1980’s a space O_n\, now called Outer space\, was defined analogously as a space of marked metric graphs\, marked by a choice of bas is for the fundamental group F_n.\nI will describe these spaces and explai n some of the ways in which they can be used to give information about aut omorphisms of Z^n and F_n respectively. I will then show how to make a hyb rid space which can be used to give information about automorphisms of gro ups that interpolate between F_n and Z^n\, called `right-angled Artin grou ps`.\n LOCATION:https://researchseminars.org/talk/BMD2020/14/ END:VEVENT END:VCALENDAR