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UID:8800@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260116T110000
DTEND;TZID=Europe/Paris:20260116T120000
DTSTAMP:20251208T094729Z
URL:https://www.i2m.univ-amu.fr/evenements/rauzy-2026-01-16/
SUMMARY:Clément Legrand-Duchesne (Université Jagiellonian (Cracovie\, Pol
 ogne)): Reconfiguration of square-tiled surfaces
DESCRIPTION:Clément Legrand-Duchesne: We consider a combinatorial reconfig
 uration problem on a subclass of quadrangulations of surfaces called squar
 e-tiled surfaces. Our elementary move is a shear in a cylinder that corres
 ponds to a well-chosen sequence of diagonal flips that preserves the squar
 e-tiled properties. We conjecture that the connected components of this re
 configuration problem are in bijection with the connected components of th
 e moduli space of quadratic differentials. We prove that the conjecture ho
 lds in the so-called hyperelliptic components of Abelian square-tiled surf
 aces. More precisely\, we show that any two such square-tiled surfaces of 
 genus g can be con be connected by O(g) powers of cylinder shears.\n\nThis
  is joint work with Vincent Delecroix.
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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DTSTART:20251026T020000
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