Sjoerd de Vries: Hecke eigenvalues on Drinfeld modular forms in characteristic 2

Abstract:

There are many open questions about the structure of Hecke eigenvalues acting on Drinfeld modular forms. In this talk we discuss the case of level \(\mathrm{GL}_2(\mathbb F_q[T])\) when q is a power of 2. In particular, we determine all eigenvalues with odd algebraic multiplicity and deduce that there are only finitely many weights without repeated eigenvalues.