Counting problems on a random lattice
Seungki Kim (University of Cincinnati)
10-May-2021, 16:15-17:30 (3 years ago)
Abstract: A random lattice is a random element of SL(n,Z) \ SL(n,R) equipped with the probability measure inherited from the Haar measure of SL(n,R). Analogous to the usual lattice point-counting, one tries to “count” — more precisely, study the statistics of — the random lattice points inside a ball or other shapes. I’ll give a gentle introduction to this topic, discussing the early works of Siegel, Rogers and Schmidt and some of the recent results, as well as their applications.
dynamical systemsnumber theory
Audience: general audience
New England Dynamics and Number Theory Seminar
Organizers: | Dmitry Kleinbock, Han Li*, Lam Pham, Felipe Ramirez |
*contact for this listing |
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