Dynamical Systems and Analysis Seminar - Chris Lutsko
| Dates: | 15 April 2024 |
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| Times: | 14:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Chris Lutsko (University of Zurich)
Title: Hyperbolic lattice point counting in unbounded rank
Abstract: Counting lattice points in balls is a classical problem which goes back to Gauss in the Euclidean setting. In the hyperbolic setting this corresponds to counting matrices of norm T in SL(n,Z). For n=2 the record belongs to Selberg in the early 1980s. In a recent paper with Valentin Blomer we extend Selberg's method to higher rank (n > 2) and thus improve on the best known bounds for the hyperbolic lattice point counting problem in higher rank. In the first half of this talk I will introduce the problem, summarize the history, and give a sketch of Selberg's method. Then in whatever time remains, I will give a sketch of the proof of Blomer and myself.
Room: Frank Adams 1
Further information: https://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynamics_analysis
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Frank Adams 1
Alan Turing Building
Manchester
