Workshop on Eisenstein Series, L-functions, and arithmetic, May 2022


Emmanuel Lecouturier


Yau Mathematical Sciences Center, Tsinghua University and Institute for Advanced Study


Eisenstein congruences and special values of L functions.

Mazur (1979) noticed that in some cases an Eisenstein congruence could imply a congruence between special values of L functions. One can then obtain some results toward conjectures like the Bloch-Kato conjecture. In a recent joint work with Jun Wang, we obtain such results for certain modular forms twisted by quadratic characters of real quadratic fields.
We will report on these results, and propose a research direction in the case of imaginary quadratic fields.


Benedum G-29

May 18, 2022 - 11:00am to 12:00pm