This talk will take place in the lecture hall in person only.
Not available via zoom.
We prove the so-called Sharpness Conjecture: any properly discontinuous and cocompact action of a discrete group on a real reductive homogeneous space G/H satisfies a strong form of properness called sharpness. This has applications e.g. to the deformation of proper cocompact actions, through a link to Anosov representations. It also allows us to deduce the nonexistence of proper cocompact actions on certain homogeneous spaces such as SL(2n,R)/SL(2n-k,R) for k=1 or 2. Joint work with Nicolas Tholozan.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/11351