An invitation to the lifting decomposition

Talia Fernós (UNCG)

Jul 20. 2023, 15:10 — 15:50

The lifting decomposition associated to a consistent set of half-spaces on a CAT(0) cube complex was introduced in my joint work with Chatterji and Iozzi, extending previous work such as that of Caprace and Sageev. In this talk I will demonstrate the simplicity and utility of this tool. Specifically, I will give lifting decompositions associated to a variety of natural objects one may have on or in a CAT(0) cube complex and discuss theorems that they helped prove. 

Further Information
Venue:
ESI Schrödinger and Boltzmann Lecture Hall
Recordings:
Recording
Associated Event:
Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics (Workshop)
Organizer(s):
Christopher Cashen (U of Vienna)
Javier de la Nuez González (KIAS, Seoul)
Alexandra Edletzberger (U of Vienna)
Yash Lodha (U of Hawaii, Honolulu)