Members' Colloquium

Varieties of Markoff Type: Arithmetic, Combinatorics, Dynamics

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.

Date & Time

December 12, 2022 | 2:00pm – 3:00pm


Simonyi Hall 101 and Remote Access - see Zoom link below


City University of New York; Member, School of Mathematics

Event Series