BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251122T060742EST-4567A5ebrT@132.216.98.100 DTSTAMP:20251122T110742Z DESCRIPTION:Topology of infinite translation surfaces\n\nClassical translat ion surfaces can be obtained from gluing finitely many polygons along para llel edges of the same length. In recent years\, people have asked what ha ppens when you glue infinitely instead of finitely many polygons. From tha t question the field of infinite translation surfaces has evolved. It turn s out that the behaviour of infinite translation surfaces is in many regar ds very different and more diverse than in the classical case. This includ es that for classical translation surfaces\, we have a Gauß–Bonnet formula which relates the cone angle of the singularities (coming from the corner s of the polygons) to the genus of the surface. For infinite translation s urfaces\, we might observe so-called wild singularities for which the noti on of cone angle is not applicable any more. In this talk\, I will explain that there is still a relation between the geometry and the topology of i nfinite translation surfaces in the spirit of a Gauß-Bonnet formula. In fa ct\, under some weak conditions\, the existence of a wild singularity impl ies infinite genus.\n\n \n DTSTART:20171206T200000Z DTEND:20171206T210000Z LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Anja Randecker\, University of Toronto URL:/mathstat/channels/event/anja-randecker-university -toronto-283165 END:VEVENT END:VCALENDAR