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SUMMARY:Distance in the pants graph and applications to hyperbolic geometr
 y - Mehdi Yazdi (KCL)
DTSTART:20240306T160000Z
DTEND:20240306T170000Z
UID:TALK209899@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:The pants graph of a compact orientable surface S\, defined by
  Hatcher and Thurston\, is a simplicial graph associated with S. Given two
  pants decompositions of a compact orientable surface S\, we give an upper
  bound for their distance in the pants graph that depends logarithmically 
 on their intersection number and polynomially on the Euler characteristic 
 of S. As a consequence\, we find an upper bound on the volume of the conve
 x core of a maximal cusp (which is a hyperbolic structures on S ×R where 
 given pants decompositions of the conformal boundary are pinched to annula
 r cusps). We also deduce similar upper bounds for distance in the Teichmul
 ler space with the Weil-Petersson metric. This is joint work with Marc Lac
 kenby. 
LOCATION:MR13
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