15. Jun 2023
Arithmetic and Dynamics on Varieties of Markoff Type
Algebraic Geometry and Number Theory Seminar
Datum: 15. June 2023 |
13:00 –
15:00
Sprecher:
Alexander Gamburd, The Graduate Center, CUNY
Veranstaltungsort: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Sprache:
Englisch
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.
