BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vaibhav Gadre (University of Glasgow) DTSTART:20260604T123000Z DTEND:20260604T133000Z DTSTAMP:20260605T010343Z UID:GaTO/142 DESCRIPTION:Title: C annon--Thurston curves do not equidistribute\nby Vaibhav Gadre (Univer sity of Glasgow) as part of Geometry and topology online\n\nLecture held i n Room B3.02 in the Zeeman Building\, University of Warwick.\n\nAbstract\n Thurston showed that a fibered three-manifold is hyperbolic if and only if it is a mapping torus of a surface by a pseudo-Anosov map. For such a thr ee-manifold\, the inclusion of the fibre (at the level of the universal co vers) gives an exponentially distorted copy of a hyperbolic plane in hyper bolic three-space. Nonetheless\, Cannon--Thurston showed that one still ob tains a continuous map from the circle at infinity (for the hyperbolic pla ne) to the sphere at infinity (for hyperbolic three-space)\, resulting in a space filling curve. This fits in a much broader context of Cannon--Thur ston maps as for example studied by Mahan and others. We show that in cont rast to classical Peano type curves\, the Cannon--Thurston curves do not e quidistribute: a large class of measures on the circle pushes forward to s ingular measures on the sphere.\n\nThis is joint work with Maher\, Pfaff\, and Uyanik.\n LOCATION:https://researchseminars.org/talk/GaTO/142/ END:VEVENT END:VCALENDAR