The arithmetic of Eisenstein seriesMPIM

by Mads Bjerge Christensen (MPIM)

Tuesday Jul 14, 2026, 2:00 PM → 3:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

PLeaSANT

In a first course on modular forms, one encounters the Eisenstein series E_k of even weight k>2. More generally, Eisenstein series arise in real analytic families parametrized by a complex parameter s, and holomorphic Eisenstein series like E_k are particular special values of s. 

The goal of this informal talk is to highlight the arithmetic information contained in some interesting examples of real analytic families of Eisenstein series at certain values of s. This is also an important theme of the 'Kudla program,' but I will try to focus on results that predate the current state-of-the-art research.