Dynamics of continued fractions and conjecture of Mazur-Rubin

Jungwon Lee (Sorbonne Université)
Tirsdag 19. maj 2020 14:15–15:45 zoom
Mathematics seminar
Mazur and Rubin established several conjectural statistics for modular symbols. We show that the conjecture holds on average. We plan to introduce the approach based on spectral analysis of transfer operator associated to a certain skew-product Gauss map and consequent result on mod p non-vanishing of modular L-values with Dirichlet twists (joint with Hae-Sang Sun).
Organiseret af: SBiM
Kontakt: Jan Frahm Revideret: 05.05.2020