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Number Theory Seminar

Thursday, February 14, 2019
4:00pm to 5:00pm
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Linde Hall 387
Dynamics of continued fractions and Mazur-Rubin conjecture
Hae-Sang Sun, Department of Mathematical Sciences, UNIST,
Mazur-Rubin proposed several conjectures on the distribution of modular symbols. In 2017, Petridis and Risager successfully gave a proof for an average version using a sophisticated theory on Eisenstein series twisted by moments of modular symbols. In the talk, I will present another proof of the average version including results on residual equi-distribution of the symbols, using the spectral properties of a transfer operator associated to a skewed Gauss map. This is joint work with Jungwon Lee.
For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].