Connectivity of Markoff mod-p graphs
De Elena Fuchs
Apparaît dans la collection : Jean Morlet Chair - Conference - Renormalization and Visualization in Geometry, Dynamics and number theory / Chaire Jean-Morlet - Conférence - Renormalisation et visualisation en géométrie, dynamique et théorie des nombres
The study of Markoff triples, solutions to $ x^{2} + y^{2} + z^{2} = 3xyz $, spans over many fields. In this talk, we discuss arithmetic of Markoff triples by considering Markoff mod-p graphs. We will delve into what is known about their connectivity, going into a recent result which is joint work with Eddy, Litman, Martin, and Tripeny.