BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251122T111733EST-6533XTknEn@132.216.98.100 DTSTAMP:20251122T161733Z DESCRIPTION:Extremal panels and taco moves.\n\nThere are various interestin g statements that boil down to passing from an action of a group G on a CA T(0) cube complex to an action on a tree. These include Stallings' ends th eorem\, the Nielsen realisation theorem for Out(F_n)\, and the Kropholler- Roller conjecture about almost-invariant subsets. I will discuss a method for converting a G-action on a CAT(0) cube complex X to a G-action on a 'l ower complexity' CAT(0) cube complex Y and describe conditions under which this can be used inductively to find a splitting of G. This leads to new proofs of the first two of the preceding statements\, as well as a special case of the Kropholler-Roller conjecture. I will also briefly describe so me possible generalisations of the construction. Most of this talk is on j oint work with Nicholas Touikan\; it will also touch on some joint work wi th Henry Wilton.\n DTSTART:20180131T200000Z DTEND:20180131T210000Z LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Mark Hagen\, University of Bristol URL:/mathstat/channels/event/mark-hagen-university-bri stol-284248 END:VEVENT END:VCALENDAR