3-term relations between multiple modular values of Eisenstein series.

par Mista Boisan

jeudi 23 oct. 2025, 14:00 → 16:00 Europe/Paris

M7-411

Multiple L-functions are a generalization developed by Manin and Brown of "classic" L-functions of modular forms. When the modular forms are Eisenstein series, the totally holomorphic values verify several linear relations. In length 2, there is a "3-term relation", in analogy with the 3-term relations on modular symbols by Manin, on products of Eisenstein series by Borisov and Gunnells, or on Milnor symbols in the K2 group of a modular curve by Brunault. In this talk, I will define Eisenstein series and multiple L-functions, give an explicit form of the 3-term relation in weight 2, and link this relation with the Beilinson regulators on the K2 group of modular curves.