BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Daniel Berlyne (City University of New York) DTSTART:20210121T180000Z DTEND:20210121T190000Z DTSTAMP:20260423T004514Z UID:OSUGGT/21 DESCRIPTION:Title: Graph products as hierarchically hyperbolic groups\nby Daniel Berlyne (City University of New York) as part of Ohio State Topology and Geometric Group Theory Seminar\n\n\nAbstract\nGiven a finite simplicial graph with a finitely generated group associated to each vertex\, the graph product i s defined by taking the free product of the vertex groups and adding commu tation relations between elements belonging to vertex groups that are conn ected by a edge in the graph. Common examples of graph products include ri ght-angled Artin groups (where all vertex groups are Z) and right-angled C oxeter groups (where all vertex groups are Z/2Z). Behrstock\, Hagen\, and Sisto showed that right-angled Artin groups exhibit a notion of non-positi ve curvature called hierarchical hyperbolicity\, with deep geometric conse quences such as a Masur-Minsky style distance formula\, finite asymptotic dimension\, and acylindrical hyperbolicity. By developing analogues of the cubical techniques employed by Behrstock-Hagen-Sisto\, we are able to gen eralise their result\, showing that any graph product with hierarchically hyperbolic vertex groups is itself a hierarchically hyperbolic group. In d oing so\, we answer two questions of Behrstock-Hagen-Sisto and two questio ns of Genevois. This is joint work with Jacob Russell.\n LOCATION:https://researchseminars.org/talk/OSUGGT/21/ END:VEVENT END:VCALENDAR