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Number Theory Seminar - Lola Thompson

Number Theory Seminar
January 28, 2019
4:15PM - 5:15PM
Math Tower 154

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Add to Calendar 2019-01-28 16:15:00 2019-01-28 17:15:00 Number Theory Seminar - Lola Thompson Title: Counting quaternion algebras with applications to spectral geometry Speaker: Lola Thompson (Oberlin College) Abstract: We discuss how classical techniques from analytic number theory can be used to count quaternion algebras over number fields subject to various constraints. Because of the correspondence between maximal subfields of quaternion algebras and geodesics on arithmetic hyperbolic manifolds, these counts have interesting applications to the field of spectral geometry. This talk is based on a joint paper with B. Linowitz, D. B. McReynolds, and P. Pollack. Seminar URL: https://research.math.osu.edu/numbertheory/ Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Counting quaternion algebras with applications to spectral geometry

SpeakerLola Thompson (Oberlin College)

Abstract: We discuss how classical techniques from analytic number theory can be used to count quaternion algebras over number fields subject to various constraints. Because of the correspondence between maximal subfields of quaternion algebras and geodesics on arithmetic hyperbolic manifolds, these counts have interesting applications to the field of spectral geometry. This talk is based on a joint paper with B. Linowitz, D. B. McReynolds, and P. Pollack.

Seminar URLhttps://research.math.osu.edu/numbertheory/

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