BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Clement Legrand (University of Bordeaux)
DTSTART:20231019T130500Z
DTEND:20231019T140000Z
DTSTAMP:20260423T003249Z
UID:GaTO/85
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/85/">Re
 configuration of square-tiled surfaces</a>\nby Clement Legrand (University
  of Bordeaux) as part of Geometry and topology online\n\nLecture held in R
 oom B3.02 in the Zeeman Building\, University of Warwick.\n\nAbstract\nA s
 quare-tiled surface is a special case of a quadrangulation of a surface\, 
 that can be encoded as a pair of permutations in \\(S_n \\times S_n\\) tha
 t generates a transitive subgroup of \\(S_n\\).  Square-tiled surfaces can
  be classified into different strata according to the total angles around 
 their conical singularities.  Among other parameters\, strata fix the genu
 s and the size of the quadrangulation.  Generating a random square-tiled s
 urface in a fixed stratum is a widely open question. We propose a Markov c
 hain approach using "shearing moves": \na natural reconfiguration operatio
 n preserving the stratum of a square-tiled surface.  In a subset of strata
 \, we prove that this Markov chain is irreducible and has diameter \\(O(n^
 2)\\)\, where \\(n\\) is the number of squares in the quadrangulation.\n
LOCATION:https://researchseminars.org/talk/GaTO/85/
END:VEVENT
END:VCALENDAR