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Seminar

Open ended seminar: Quasi-isometric embeddings of higher rank lattices May 19, 2015 (02:00 PM PDT - 04:30 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) David Fisher (Indiana University)
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We show some surprisingly strong rigidity theorems for quasi-isometric embeddings of higher rank non-uniform lattices.

For example any QI embedding of SL(n, Z) into SL(n, Z[i]) is at bounded distance from a homomorphism on a subgroup of finite index.  This is the first example of a fairly general rigidity theorem but there are also examples that show some additional flexibility. A key step in our proofs is a variant of Ratner's theorem due to N.Shah. This is joint work with Thang Nguyen.

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