Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Martina Joergensen
Affiliation:

ETH Zürich
Date:

Thu, 10/06/2021 - 16:30 - 18:00 We discuss the notion of asymptotic and Nagata dimension, with emphasis on examples and applications. In particular, it follows from a recent result of Fujiwara-Papasoglu and a theorem by Brodskiy-Dydak-Levin-Mitra that all planar geodesic metric spaces have Nagata dimension at most two, hence asymptotic dimension at most two. In a recent work written jointly with Urs Lang, this was further applied to prove that every three-dimensional Hadamard manifold have Nagata dimension three and is an absolute Lipschitz retract.

The seminar is virtual via Zoom. If you are interested in participating, please contact Stephan Stadler (stadler

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3050