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SUMMARY:Facundo Mémoli (Ohio State University)
DTSTART:20220411T120000Z
DTEND:20220411T130000Z
DTSTAMP:20260422T140000Z
UID:BilTop/45
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/45/">
 The Gromov-Hausdorff distance between spheres</a>\nby Facundo Mémoli (Ohi
 o State University) as part of Bilkent Topology Seminar\n\nLecture held in
  SB-Z11.\n\nAbstract\nThe Gromov-Hausdorff distance is a fundamental tool 
 in Riemanian geometry\, and also in applied geometry and topology. Whereas
  it is often easy to estimate the value of the distance between two given 
 metric spaces\, its precise value is rarely easy to determine.  Some of th
 ese estimates follow from considerations related to the notion of 'persist
 ent homology' and Gromov's filling radius. However\, these turn out to be 
 non-sharp.\n\n\nIn this talk I will describe results that we have obtained
  which permit calculating the precise value to the Gromov-Hausdorff betwee
 n certain pairs of spheres (endowed with their geodesic distance). These r
 esults involve lower bounds\, which arise from certain versions of the Bor
 suk-Ulam theorem which are applicable to discontinuous maps\, and from the
  construction of  specialized ``correspondences" between spheres which yie
 ld matching upper bounds in some cases.\n
LOCATION:https://researchseminars.org/talk/BilTop/45/
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