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Drinfeld discriminant function and Fourier expansion of harmonic cochains

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Mihran Papikian
Penn State University/MPIM
Wed, 29/03/2023 - 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Contact: Pieter Moree (moree @

We study the relationship between the modular units on the Drinfeld symmetric space, the harmonic cochains on the edges of the Bruhat-Tits building of PGL(r), and the cuspidal divisor groups of certain Drinfeld modular varieties of dimension r-1, where r is an arbitrary integer >1. As an application, we obtained a higher dimensional analogue of a result of Ogg about the structure of the cuspidal divisor group of the  classical modular curve X_0(p) of prime level. This is joint work with Fu-Tsun Wei. 


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