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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