BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Robin Elliott (MIT)
DTSTART:20201207T170000Z
DTEND:20201207T180000Z
DTSTAMP:20260423T040548Z
UID:TG_ET/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TG_ET/9/">Di
 stortion in loop space</a>\nby Robin Elliott (MIT) as part of Topology and
  geometry: extremal and typical\n\n\nAbstract\nHow efficiently can we repr
 esent a large integer multiple $k\\alpha$ of a given non-torsion element $
 \\alpha$ of a homotopy group of a Riemannian manifold? Here efficiency is 
 measured by the Lipschitz constant $L$ of a representing map\, and the que
 stion is quantitatively answered by bounding the asymptotics of the minima
 l $L$ needed to represent $k\\alpha$. In this talk I will talk about relat
 ed functions defined in terms of the (co)homology of the loop space of the
  Riemannian manifold. I will discuss results for producing general upper b
 ounds and applications of these\, as well as specific constructions for lo
 wer bounds.\n
LOCATION:https://researchseminars.org/talk/TG_ET/9/
END:VEVENT
END:VCALENDAR