The seminar takes place on Tuesdays, usually from 16:00 to 17:00 CEST (UTC+2, time zone of Amsterdam, Berlin,
Rome, Stockholm, Vienna) via Zoom . The meetings start 15 minutes before the talk with a short coffee break.
The password is the first Fourier coefficient of the modular $j$-function (as digits).
The videos of some of the past talks are available on our youtube channel. In September 2025, we organized the "International Workshop on Automorphic Forms" (IWoAF) at SwissMap research station. Some of the talks are recorded and available from the link below.
If you wish to receive emails with news about the seminar and reminders for talks, please just write to one of the organizers about joining our mailing list.
30.06.2026 -- 10:00-11:00 (CEST, UTC+2)
Haocheng Fan (BICMR - Peking University) On an algebro-geometric approach to the automatic convergence theorem for Shimura varieties
In the first part of this talk, I will provide an upper bound for the coherent cohomological dimension of the Siegel modular variety, and then show that the boundary of the compactified Siegel modular variety satisfies the Grothendieck–Lefschetz condition, which implies the automatic convergence theorem in this case. In the second part, I will introduce a work in progress, joint with Peihang Wu and Jiacheng Xia, to generalize this approach to general Shimura varieties by assuming an algebraicity result on the space of symmetric formal Fourier-Jacobi series.
07.07.2026 -- 16:00-17:00 (CEST, UTC+2)
Ryan Chen (Princeton) Faltings heights and subleading terms of adjoint L-functions
Colmez's conjecture predicts that Faltings heights of CM abelian varieties appear in subleading terms of certain Artin L-functions.
An averaged version is known by the work of Andreatta--Goren--Howard--Madapusi and Yuan--Zhang.
We propose a generalized problem relating diagonal cycles on $(n - 1)$-dimensional unitary Shimura varieties and adjoint L-functions of certain automorphic representations of $U(n)$.
The case $n = 1$ is (a variant of) the averaged Colmez conjecture.
I will explain some origins of our conjecture, discuss our predictions in the general case, and report on our results in the case in the case of n = 2, via trace formula.
This is joint work in progress with Weixiao Lu and Wei Zhang.
