Number Theory Seminar
Chien-Hua Chen
Penn State
On adelic surjectivity of Galois representation for Drinfeld modules
Abstract: In 2009, Pink and Rütsche proved the Drinfeld module analogue of the
``open image theorem''. Based on the open image theorem, it is natural
to ask the function field analogue of two questions raised by Serre in
the context of elliptic curves. The first question is whether there is
a Drinfeld module whose adelic Galois representation is surjective. The
other one is the analogue of the famous ``Serre's uniformity problem''.
In this talk, I will discuss my result on a certain class of Drinfeld
modules having adelic surjective Galois representation and a partial
result of the uniformity problem.
Zoom link:
https://uic.zoom.us/j/88173268700?pwd=aEhmTGpSOVhidWE4L1VWUnNhNVlvUT09
Friday March 18, 2022 at 1:00 PM in Zoom