Distribution of Modular Symbols

Speaker:

Petru Constantinescu

Zugehörigkeit:

MPIM

Datum:

Mit, 10/11/2021 - 14:30 - 15:30

Parent event:

Number theory lunch seminar [2]

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.