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math.GT2003
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…
math.GT2003
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,…