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

Posted in

- Talk [1]

Speaker:

Stephan Stadler
Affiliation:

LMU München
Date:

Thu, 2019-12-05 10:15 - 11:00 In the early 80s, Gromov initiated a far reaching program to study

groups as geometric objects.

He asks to identify an infinite group up to a natural geometric equivalence.

In my talk I will concentrate on Gromov's program in the realm of nonpositive curvature

and highlight the role of quasiflats, i.e. spaces/groups which are equivalent to Euclidean spaces.

I will present new structural results on quasiflats, explain their relevance to the classification

program and provide applications.

Part of the talk is based on joint work with Jingyin Huang and Bruce Kleiner.

**Links:**

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

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/3207