The distribution of values of $L(1,\chi)$, where $\chi$ is a cubic character over $\mathbb Q$

In this talk, I will speak about the distribution of the special values $L(1, \chi)$ as $\chi$ varies over the family $F(X)$ of cubic primitive characters of conductor less or equal to $X$, and in particular the distribution of extreme values. This is a recent joint work with Chantal David, Matilde Lalı́n, and Allysa Lumley.