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SUMMARY:Panos Papasoglu (Oxford)
DTSTART:20200831T160000Z
DTEND:20200831T170000Z
DTSTAMP:20260423T040115Z
UID:TG_ET/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TG_ET/2/">Ur
 yson width and volume</a>\nby Panos Papasoglu (Oxford) as part of Topology
  and geometry: extremal and typical\n\n\nAbstract\nThe Uryson width of an 
 $n$-manifold gives a way to describe how close is the manifold to an $n-1$
  dimensional complex. It turns out that this is a useful tool to approach 
 several geometric problems.\n\nIn this talk we will give a brief survey of
  some questions in `curvature free' geometry and sketch a novel approach t
 o the classical systolic inequality of Gromov.  Our approach follows up re
 cent work of Guth relating Uryson width and local volume growth. For examp
 le we deduce also the following result of Guth: there is an $\\epsilon _n>
 0$ such that for any $R>0$ and any compact aspherical $n$-manifold $M$ the
 re is a ball $B(R)$ of radius $R$  in the universal cover of $M$ such that
  $vol(B(R))\\geq \\epsilon _n R^n$.\n
LOCATION:https://researchseminars.org/talk/TG_ET/2/
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