BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250802T121426EDT-3212ErMJNz@132.216.98.100 DTSTAMP:20250802T161426Z DESCRIPTION:Title: Cubulated relatively hyperbolic groups and virtual speci alness.\n\nAbstract: Ian Agol showed that hyperbolic groups acting geometr ically on CAT(0) cube complexes are virtually special in the sense of Hagl und–Wise\, the last step in the proof of the virtual Haken and virtual fib ering conjectures. I will talk about a generalization of this result (also obtained independently by Groves and Manning)\, which states that cubulat ed relatively hyperbolic groups are virtually special provided the periphe ral subgroups are virtually special in a way that is compatible with the c ubulation. In particular\, we deduce virtual specialness for cubulated gro ups that are hyperbolic relative to virtually abelian groups\, extending W ise's results for limit groups and fundamental groups of cusped hyperbolic 3-manifolds. The main ingredient of the proof is a relative version of Wi se's quasi-convex hierarchy theorem\, obtained using recent results by Ein stein\, Groves\, and Manning.\n\nLink: https://mcgill.zoom.us/j/9891072624 6?pwd=VHlzTzdTZGtqcHVuWGNKdys4d0FzQT09\n\nZoom ID: 989 1072 6246\n Password : delta\n DTSTART:20210324T190000Z DTEND:20210324T200000Z SUMMARY:Eduardo Oregón-Reyes (UC Berkeley) URL:/mathstat/channels/event/eduardo-oregon-reyes-uc-b erkeley-329925 END:VEVENT END:VCALENDAR