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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Salem numbers and arithmetic hyperbolic manifolds

Michelle Chu
University of Minnesota – Twin Cities
https://www-users.cse.umn.edu/~mchu/

Date(s) : 16/03/2026   iCal
11h00 - 12h00

Salem numbers are real algebraic integers greater than 1, whose conjugates lie within the unit circle. They are directly related to the lengths of geodesics in arithmetic hyperbolic manifolds. In this talk I will discuss joint work with Plinio Murillo on the existence of given geodesic lengths in the rational length spectrum of an arithmetic hyperbolic manifold of simplest type, or equivalently, the realization of Salem numbers in commensurability classes of arithmetic groups.

Emplacement
I2M Saint-Charles - Salle de séminaire

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