Séminaires : Séminaire Théorie des Nombres

Equipe(s) : tn,
Responsables :Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos
Email des responsables : ziyang.gao@imj-prg.fr
Salle :
Adresse :



Orateur(s) Ivan Horozov - ,
Titre Non-commutative modular symbol on a Hilbert modular surface
Horaire14:00 à 16:00
RésumeSeveral years ago Manin defined a non-commutative modular symbolfor subgroups of finite index of SL(2,Z), using Chen's iteratedintegrals of modular forms. I will explain its meaning. I willpresent a modification of Chen's iterated integrals, which candefine a generalization of non-commutative modular symbol onHilbert modular surface. I will explain what is a Hilbert modularsurface and what is the relation of the defined symbol to theclassical modular symbol over such a surface. As an application, Iconstruct geometric compositions of different non-commutativemodular symbols.