1 citations · 1 across the 5 of their papers we have counts for
9 papers
Asymptotic cones and ultrapowers of Lie groups
Linus Kramer, Katrin Tent
Asymptotic cones of metric spaces were first invented by Gromov. They are metric spaces which capture the 'large-scale structure' of the underlying metric space. Later, van den Dri…
Buildings and classical groups
Linus Kramer
This is a survey article on classical groups (over arbitrary division rings) and their geometries.
Asymptotic cones of finitely presented groups
Linus Kramer, Saharon Shelah, Katrin Tent +1
Let G be a connected semisimple Lie group with at least one absolutely simple factor S such that R-rank(S) is at least 2, and let be a uniform lattice in G. (a) If holds,…
Affine -buildings, ultrapowers of Lie groups and Riemannian symmetric spaces: an algebraic proof of the Margulis conjecture
Linus Kramer, Katrin Tent
In this paper, we give a general group-theoretic construction of affine $\RR$-buildings, and more generally, of affine -buildings, associated to semisimple Lie groups over nonar…
Projective planes and their look-alikes
Linus Kramer
We classify all closed 1-connected manifolds which look like projective planes, i.e. with integral homology . Furthermore, we give an explicit construction of these…
Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces
Linus Kramer
We classify compact 2-connected homogeneous spaces with the same rational cohomology as a product of spheres. This classification relies on spectral sequences, homotopy theory, and…