BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Length Bounds in Quasifuchsian Manifolds
DTSTART:20250616T140000Z
DTEND:20250616T151500Z
DTSTAMP:20260504T201300Z
UID:indico-event-14498@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Kenneth Bromberg (University of Utah)\n\nA quasifuch
 sian manifold is a hyperbolic structure on the product of a surface and th
 e line that is naturally compactified by two conformal structures at infin
 ity. By a classical result of Bers\, curves that have bounded length in th
 e hyperbolic structures on these surfaces also have bounded length in the 
 hyperbolic 3-manifold. However\, the converse fails — one can construct 
 examples of quasifuchsian manifolds that contain curves of bounded length 
 in the 3-manifold while the curves are arbitrarily long in the hyperbolic 
 structures at infinity. To rectify this\, Minsky gave a description of the
  bounded length curves in the 3-manifold in terms of the data at infinity 
 using the curve complex. These a priori bounds played a central role in th
 e Brock-Canary-Minsky proof of the ending lamination conjecture. Bowditch 
 later gave a new proof of these bounds. We will describe another proof of 
 this result. While it uses many of the ideas of the approaches of Minsky a
 nd Bowditch\, unlike their proofs the result is effective.\n\nhttps://indi
 co.math.cnrs.fr/event/14498/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/14498/
END:VEVENT
END:VCALENDAR