Peter Mathias Graef

collaborators

2 papers

math.NT2025

$U$ -Operators Acting on Harmonic Cocycles for $GL_{3}$ and Their Slopes

Gebhard Boeckle, Peter Mathias Graef, Theresa Kaiser

In this article, we describe a computational study of the action of the two natural $U$ -operators acting on $I^$ -invariant spaces of harmonic cocycles for $GL_{3}$ for certa…

math.NT2025

Dimension formulas for certain spaces of Drinfeld cusp forms

Gebhard Boeckle, Peter Mathias Graef, Iason Papadopoulos

In this short note, we derive dimension formulas for spaces of Drinfeld cusp forms corresponding to harmonic cocycles invariant under the group $SL_{2} (F_{q} [t])$ and…

U-Operators Acting on Harmonic Cocycles for GL3​ and Their Slopes

Dimension formulas for certain spaces of Drinfeld cusp forms

$U$ -Operators Acting on Harmonic Cocycles for $GL_{3}$ and Their Slopes