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Oberseminar Differentialgeometrie
Sublinear Bilipschitz Equivalence (SBE) is a weak form of quasi-isometry, originally brought forward and used by Cornulier in studying the geometry of solvable Lie groups. In contrast with solvable Lie groups, the SBE-class of a semisimple Lie group of noncompact type is the same as its isometry class. I will present this SBE-classification, and then focus on the situation for non-uniform lattices: what is known and what is still open.
Based on joint work with Gabriel Pallier (Lille).