Asymptotic Dimension by Mladen Bestvina

Virtual colloquium by Prof. Mladen Bestvina

(University of Utah)

Chair of the colloquium: Prof. Mahan Mj (TIFR Mumbai)

Release of the lecture video on YouTube: September 29, 2021, at 18:00 hrs Indian time

Video link: https://youtu.be/36IiCRTNxSs

Interactive session on Zoom: October 20, 2021, at 18:30 hrs Indian time

YouTube live-stream link: TBA The joining link for the Zoom meeting will be emailed to registered participants. (register here) Title: Asymptotic Dimension Abstract: Asymptotic dimension is an analog of topological dimension in the large-scale context of geometric group theory. This talk will introduce asymptotic dimension, and describe some of its basic properties. One of the important aspects of the theory is to establish that several finitely generated groups arising naturally in a geometric context, e.g. Gromov-hyperbolic groups, non-uniform lattices in Lie groups, etc., have finite asymptotic dimension. In particular, this proves the Novikov conjecture for such groups. Towards the end, we shall discuss asymptotic dimension of mapping class groups and the outer automorphism group of free groups. Participants are requested to submit their questions for the speaker through the following form:

https://forms.gle/FjqzXcyBBZtZvdxr9

The above form will stop accepting responses on October 18, 2021 at 18:00 hrs Indian time