February 26, 2018
4:15 pm
-
5:15 pm
Math Tower 154
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2018-02-26 17:15:00
2018-02-26 18:15:00
Number Theory Seminar - Joseph Vandehey
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.
Math Tower 154
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2018-02-26 16:15:00
2018-02-26 17:15:00
Number Theory Seminar - Joseph Vandehey
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.
Math Tower 154
America/New_York
public
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.
