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Distribution of Modular Symbols

Posted in
Speaker: 
Petru Constantinescu
Affiliation: 
MPIM
Date: 
Wed, 2021-11-10 14:30 - 15:30
Parent event: 
Number theory lunch seminar

Zoom ID: 919 6497 4060
For password please contact Pieter Moree (moree@mpim-bonn.mpg.de)

Motivated by a series of conjectures of Mazur, Rubin and Stein, the study of the arithmetic statistics of modular symbols has received a lot of attention in recent years. In this talk, I will highlight several results about the distribution of modular symbols, including their Gaussian distribution and the residual equidistribution modulo p. I will also talk about generalisations to quadratic imaginary fields and higher dimensions.

 

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