Jerusalem Mathematics Colloquium

Thursday, 18th March 2004, 4:00 pm
Mathematics Building, Lecture Hall 2

Professor Alex Lubotzky
(Hebrew University)

"Subgroup growth of lattices in semisimple Lie groups"

Abstract: The subgroup growth of a group is the study of the number of its index n subgroups as a function of n. We will present some sharp estimates on this growth for lattices L in higher rank semi-simple Lie groups G. A surprising phenomenon is that this growth depends only on the root system of G and not on L.

In the most general case, our results depends on the generalized Riemann Hypothesis but a number of results can be also proved unconditionally.

Light refreshments will be served in the faculty lounge at 3:30.

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