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UID:4880@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230929T110000
DTEND;TZID=Europe/Paris:20230929T120000
DTSTAMP:20241207T131737Z
URL:https://www.i2m.univ-amu.fr/evenements/on-the-upper-bound-of-the-geoto
 pological-cheeger-constant-in-the-principal-stratum-maurice-reichert/
SUMMARY:Maurice REICHERT (...): On the upper bound of the geotopological Ch
 eeger constant in the principal stratum
DESCRIPTION:Maurice REICHERT: On the upper bound of the geotopological Chee
 ger constant in the principal stratum\nAbstract:\nWe are exploring the beh
 avior of a topological variant of the Cheeger constant on principal strata
  $left(mathcal{H}left(1^{2g-2}right)right)_g$ of translation surfaces as g
 enus $g$ approaches infinity. Our goal is to derive a more comprehensive u
 nderstanding of the expected value of this constant and its rate of growth
 .\nThrough our analysis\, we demonstrate that the expected value of the to
 pological variant of the Cheeger constant has an upper growth rate like $g
 ^{3}$ for large genus $g$. In particular\, we build on the results of Eski
 n--Masur--Zorich\, which provide an explicit way of calculating volumes of
  subspaces of strata of Abelian differentials.
CATEGORIES:Séminaire,Rauzy
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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