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DTSTAMP:20260909T022651Z
DESCRIPTION:Title: Slope Gap Distributions of Veech Translation Surfaces\n	
 \n	Abstract: Translation surfaces are surfaces that are locally Euclidean e
 xcept at finitely many points called cone points\, an example being the re
 gular octagon with opposite sides identified (the vertices are identified 
 and become a single cone point). A saddle connection is then a straight tr
 ajectory that begins and ends at a cone point. It is known that on almost 
 every translation surface\, the set of angles of saddle connections on the
  surface is equidistributed in the circle. A finer notion of how random th
 e saddle connection directions are is given by something called the gap di
 stribution of the surface.\n	\n	In this talk\, we will explain what the slop
 e gap distribution of a translation surface is and survey some known resul
 ts about slope gap distributions\, including how one can use properties of
  the horocycle flow to compute the slope gap distributions of special tran
 slation surfaces called Veech surfaces. We'll then discuss recent results 
 showing that the slope gap distributions of Veech surfaces have to satisfy
  some nice analytic properties. This project is joint work with Luis Kuman
 duri and Anthony Sanchez.\n\nFor Zoom meeting please contact dmitry.jakobs
 on [at] mcgill.ca\n\n \n
DTSTART:20220225T193000Z
DTEND:20220225T203000Z
SUMMARY:Jane Wang (Indiana University)
URL:https://www.mcgill.ca/mathstat/channels/event/jane-wang-indiana-univers
 ity-337860
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