Upcoming Talks

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Arithmetic and Dynamics on Varieties of Markoff Type

Algebraic Geometry and Number Theory Seminar

Date: Thursday, June 15, 2023 13:00 - 15:00
Speaker: Alexander Gamburd (The Graduate Center, CUNY)
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series: Mathematics and CS Seminar
Host: Tim Browning

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 (briefly) asymptotics of integer points, and (in some detail) recent progress towards establishing forms of strong approximation on varieties of Markoff type, as well as ensuing implications, diophantine and dynamical.

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