Séminaires : Séminaire Théorie des Nombres

Equipe(s) : fa, tn, tga,
Responsables :Kęstutis Česnavičius, Marc Hindry, Wieslawa Nizioł, Cathy Swaenepoel
Email des responsables : cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :
Description

http://www.imj-prg.fr/tn/STN/stnj.html

 


Orateur(s) Martí Roset Julià - IMJ-PRG,
Titre Rigid cocycles for $\textrm{SL}(n)$ and their values at special points
Date20/10/2025
Horaire14:00 à 15:00
Diffusion
Résume

The theory of complex multiplication implies that the values of modular functions at CM points belong to abelian extensions of imaginary quadratic fields. In this talk, we propose a conjectural extension of this phenomenon to the setting of totally real fields. Generalizing the work of Darmon, Pozzi, and Vonk, we construct rigid cocycles for $\textrm{SL}(n)$, which play the role of modular functions, and define their values at points associated with totally real fields. The construction of these cocycles originates from a topological source: the Eisenstein class of a torus bundle. This is ongoing joint work with Peter Xu.

Salle1016
AdresseSophie Germain
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