Seminar
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| Location: | SLMath: Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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.