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] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3050