Number Theory Seminar

Alex Gamburd
The Graduate Center, CUNY
Arithmetic and Dynamics on Varieties of Markoff Type
Abstract: The Markoff equation x^2+y^2+z^2=3xyz, which arose in his spectacular thesis (1879), is ubiquitous in a tremendous variety of contexts. After reviewing some of these, we will discuss joint work with Bourgain and Sarnak establishing forms of strong approximation on varieties of Markoff type, as well as ensuing implications, diophantine and dynamical.
Zoom Link: https://uic.zoom.us/j/88173268700?pwd=aEhmTGpSOVhidWE4L1VWUnNhNVlvUT09
Friday May 13, 2022 at 1:00 PM in Zoom
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