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Lecture #1: Tools for counting quaternion algebras

Random and Arithmetic Structures in Topology: Introductory Workshop August 25, 2020 - September 11, 2020

August 31, 2020 (09:00 AM PDT - 10:00 AM PDT)
Speaker(s): Lola Thompson (Universiteit Utrecht)
Location: MSRI: Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC

Tools For Counting Quaternion Algebras


In this lecture, we will introduce some classical techniques from analytic number theory and show how they can be used to count quaternion algebras over number elds subject to various constraints. Because of the correspondence between maximal sub elds of quaternion algebras and geodesics on arithmetic hyperbolic manifolds, these counts can be used to produce quantitative results in spectral geometry.

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Tools For Counting Quaternion Algebras

H.264 Video 1003_28720_8459_Tools_for_Counting_Quaternion_Algebras.mp4
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