Vortrag von Dr. Annette Karrer
Im AG Seminar des Institutes für Algebra und Geometrie spricht
Frau Annette Karrer (Technion, Haifa)
über Contracting boundaries of right-angled Coxeter groups
Zoom-Koordinaten: https://ovgu.zoom.us/j/95199662620
Meeting ID: 951 9966 2620 / Passcode: 461614
Zeit: Dienstag, 1. Dezember 2020, 14.00 Uhr
Zu diesem Vortrag laden wir alle Interessierten herzlich ein.
Abstract:
A complete CAT(0) space has a topological space associated to it called the contracting or Morse boundary. This boundary captures how similar
the CAT(0) space is to a hyperbolic space. Charney{Sultan proved this boundary is a quasi-isometry invariant, i.e. it can be dened for CAT(0) groups. In my
PhD thesis, I studied contracting boundaries of amalgamated free products of CAT(0) groups and applied my insights to right-angled Coxeter groups. In the
talk, I will present the main results of my thesis with the focus on contracting boundaries of right-angled Coxeter groups.We will get to know right-angled Coxeter groups with totally disconnected contracting boundaries and will study interesting situations in which large connected components occur.