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Number Theory Seminar - Joseph Vandehey

Joseph Vandehey
February 26, 2018
4:15 pm - 5:15 pm
Math Tower 154

Title: Ergodicity of geometrically complete Iwasawa continued fractions

Speaker: Joseph Vandehey (OSU)

Abstract: While multiple proofs of ergodicity exist for the standard real continued fractions, proofs of ergodicity for complex continued fractions rely on a serendipitous decomposition such that even a slight permutation would destroy the proof. Continuing from a talk given several years ago, we establish a more general framework of the connection between continued fractions and hyperbolic space, which allows us to prove ergodicity in many more interesting cases, including on the Heisenberg group, where it has been an open question.

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Seminar - Number Theory