IPM Calendar 
Tuesday 7 May 2024   Today  
Events for day: Tuesday 06 July 2021    
           17:30 - 19:30     Number Theory Webinar
On Drinfeld Modular Forms of Higher Rank and Quasi-Periodic Functions

School
MATHEMATICS

In 1980s, David Goss introduced Drinfeld modular forms in the rank two case and revealed several similarities between them and the classical modular forms as well as giving a recipe for how to construct them for the higher rank setting. Later on their higher rank generalization was studied extensively by Basson, Breuer, Gekeler and Pink. In this talk, we introduce a special function on the Drinfeld period domain in the higher rank setting which also generalizes the false Eisenstein series of Gekeler. We also introduce its functional equation, its relation with quasi-periodic functions of a Drinfeld module and the transcendence of its values a ...