Abstract

As in the classical case, Drinfeld modular polynomial which has integral coefficients gives a trivial model for the corresponding modular curve. In this talk, I will present an explicit and asymptotically optimal result on estimating the size of the coefficients of Drinfeld modular polynomials. As the application of our method, I will also present results on relating the Weil (resp. Taguchi) height of a given Drinfeld module with that of the Hecke points. If time permit, I will demonstrate how Farey sequence and Bruhat-Tits trees can help us to yield such an explicit and asymptotically optimal estimate on the coefficients. This is joint work with Florian Breuer and Fabien Pazuki.

 

WebEx Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m4dd5cff7883a3226339c045c2e83254e

Meeting number (access code): 2517 919 0198

Meeting password: KNgUj5RMU33 

 

Organizer: Fu-Tsun Wei (NTHU)