### Sublinear rigidity of lattices in semisimple Lie groups

Geometry and Topology Seminar

5th March 2024, 2:00 pm – 3:00 pm

Fry Building, 2.04

I will talk about the coarse geometry of lattices in real semisimple Lie groups. One great result from the 1990's is the quasi-isometric rigidity of these lattices: any group that is quasi-isometric to such a lattice must be, up to some minor adjustments, isomorphic to lattice in the same Lie group. I present a partial generalization of this result to the setting of Sublinear Bilipschitz Equivalences (SBE): these are maps that generalize quasi-isometries in some 'sublinear' fashion.

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