BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251219T105313EST-3133KIaTuF@132.216.98.100 DTSTAMP:20251219T155313Z DESCRIPTION:Conférence Nirenberg du CRM en analyse géométrique: Birkhoff Co njecture for convex planar billiards\n\nWeb site : http://www.crm.math.ca/ Nirenberg2019/\n\nG.D. Birkhoff introduced a mathematical billiard inside of a convex domain as the motion of a massless particle with elastic refle ction at the boundary. A theorem of Poncelet says that the billiard inside an ellipse is integrable\, in the sense that the neighborhood of the boun dary is foliated by smooth closed curves and each billiard orbit near the boundary is tangent to one and only one such curve (in this particular cas e\, a confocal ellipse). A famous conjecture by Birkhoff claims that ellip ses are the only domains with this property. We show a local version of th is conjecture – namely\, that a small perturbation of an ellipse has this property only if it is itself an ellipse. This is based on several papers with A. Avila\, J. De Simoi\, G. Huang and A. Sorrentino.\n DTSTART:20190122T200000Z DTEND:20190122T210000Z LOCATION:Room 5345\, CA\, Pav. André-Aisenstadt SUMMARY:Vadim Kaloshin\, University of Maryland URL:/mathstat/channels/event/vadim-kaloshin-university -maryland-293435 END:VEVENT END:VCALENDAR