BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Matt Zaremsky (SUNY Albany) DTSTART:20211130T140000Z DTEND:20211130T160000Z DTSTAMP:20260423T023044Z UID:WienGAGT/5 DESCRIPTION:Title: Higher virtual algebraic fibering of certain right-angled Coxeter groups< /a>\nby Matt Zaremsky (SUNY Albany) as part of Vienna Geometry and Analysi s on Groups Seminar\n\n\nAbstract\nA group is said to "virtually algebraic ally fiber" if it has a finite index subgroup admitting a map onto Z with finitely generated kernel. Stronger than finite generation\, if the kernel is even of type F_n for some n then we say the group "virtually algebraic ally F_n-fibers". Right-angled Coxeter groups (RACGs) are a class of group s for which the question of virtual algebraic F_n-fibering is of great int erest. In joint work with Eduard Schesler\, we introduce a new probabilist ic criterion for the defining flag complex that ensures a RACG virtually a lgebraically F_n-fibers. This expands on work of Jankiewicz--Norin--Wise\, who developed a way of applying Bestvina--Brady Morse theory to the Davis complex of a RACG to deduce virtual algebraic fibering. We apply our crit erion to the special case where the defining flag complex comes from a cer tain family of finite buildings\, and establish virtual algebraic F_n-fibe ring for such RACGs. The bulk of the work involves proving that a "random" (in some sense) subcomplex of such a building is highly connected\, which is interesting in its own right.\n\nIn the first half of the talk I will focus just on what Jankiewicz--Norin--Wise did\, so in particular always n =1\, and then in the second half I will get into the n>1 case and the spec ific examples.\n LOCATION:https://researchseminars.org/talk/WienGAGT/5/ END:VEVENT END:VCALENDAR