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Connectivity of Markoff mod-p graphs

By Elena Fuchs

Appears in 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.

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Citation data

  • DOI 10.24350/CIRM.V.20116803
  • Cite this video Fuchs, Elena (05/12/2023). Connectivity of Markoff mod-p graphs. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20116803
  • URL https://dx.doi.org/10.24350/CIRM.V.20116803


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