Michelle Chu - Salem numbers in arithmetic hyperbolic manifolds - IPAM at UCLA

Recorded 12 October 2026. Michelle Chu of the University of Minnesota, Twin Cities, presents "Salem numbers in arithmetic hyperbolic manifolds" at IPAM's Hyperbolic Structures and Quantum Invariants Workshop.
Abstract: Salem numbers arise naturally from the lengths of closed geodesics in arithmetic hyperbolic manifolds. In this talk, we characterize when the logarithm of a Salem number occurs as the length of a closed geodesic in the commensurability class of an arithmetic hyperbolic manifold, in terms of its arithmetic data. We also show that a given Salem number can occur in infinitely many pairwise incommensurable arithmetic hyperbolic manifolds.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-i-hyperbolic-structures-and-quantum-invariants/?tab=overview Receive SMS online on sms24.me

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