Masato Mimura (z.Z. Lausanne): Unbounded rank expanders, property (T) for SL(n,Z), and beyond. Oberseminar C*-Algebren.
Tuesday, 30.05.2017 15:15 im Raum N2
It is well-known that SL(n,Z) has Kazhdan's property (T) if n is at least 3.
I will present a new proof of it: this proof does not appeal to ANY specialty of the
ring Z (such as lattice structures or bounded generation). This proof may be applied in
much broader context. For instance, we re-prove the celebrated theorem by Ershov and
Jaikin-Zapirain (but with no estimates of Kazhdan constants), which has a corollary on the
"unbounded rank expander problem." We can proceed even further.
Angelegt am 15.03.2017 von Elke Enning
Geändert am 03.04.2017 von Elke Enning
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