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SUMMARY:Pär Kurlberg (KTH)
DTSTART:20250618T150000Z
DTEND:20250618T160000Z
DTSTAMP:20260418T065849Z
UID:LNTS/167
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/167/">A
  Poincare section for horocycle flows: escape of mass</a>\nby Pär Kurlber
 g (KTH) as part of London number theory seminar\n\nLecture held in K2.40\,
  King's Building\, King's College London\, WC2R 2LS.\n\nAbstract\nMotivate
 d by a hyperbolic analog of the Lester-Wigman\n"vanishing area correlation
 s"-conjecture for euclidean lattice points we\ninvestigate the dynamical p
 roperties of a natural choice of a Poincare\nsection\, associated with H/S
 L(2\,Z)\, and the horocycle flow on the upper\nhalf plane H. Since the hor
 ocycle *flow* is mixing\, one might hope for\nan easy proof of vanishing a
 rea correlations by showing that the\nPoincare map is mixing. However\, no
 t only is the Poincare map\nnon-mixing\; even equidistribution/ergodicity 
 breaks down badly due to\nescape of mass. Amusingly\, we can still show va
 nishing of area\ncorrelations (but "for the wrong reason".)\n
LOCATION:https://researchseminars.org/talk/LNTS/167/
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