|4:00 pm Thursday, September 25, 2008|
Colloquium: Logarithm laws, diophantine approximation, and the geometry of numbers.
by Jayadev Athreya (Yale) in HB 227
In joint work with G. A. Margulis, we prove a logarithm law governing the cusp excursions of unipotent flows on non-compact homogeneous spaces, in particular, hyperbolic surfaces and the space of unimodular lattices in Euclidean space. Our main tool is a result of independent interest, a measurable analogue of the Minkowski convex body theorem. We also describe several connections to diophantine approximation.Host Department: Rice University-Mathematics
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