7 citations · 13 across the 6 of their papers we have counts for
6 papers
A Hecke-equivariant decomposition of spaces of Drinfeld cusp forms via representation theory, and an investigation of its subfactors
Gebhard Boeckle, Peter Mathias Graef, Rudolph Perkins
There are various reasons why a naive analog of the Maeda conjecture has to fail for Drinfeld cusp forms. Focussing on double cusp forms and using the link found by Teitelbaum betw…
Wiles defect for Hecke algebras that are not complete intersections
Gebhard Boeckle, Chandrashekhar Khare, Jeffrey Manning
In his work on modularity theorems, Wiles proved a numerical criterion for a map of rings to be an isomorphism of complete intersections. He used this to show that certain…
Computing -invariants via the Greenberg-Stevens formula
Samuele Anni, Gebhard Boeckle, Peter Mathias Graef +1
In this article, we describe how to compute slopes of -adic -invariants of arbitrary weight and level by means of the Greenberg-Stevens formula. Our method is based…
Wieferich Primes and a mod Leopoldt Conjecture
Gebhard Boeckle, David-A. Guiraud, Sudesh Kalyanswamy +1
We consider questions in Galois cohomology which arise by considering mod Galois representations arising from automorphic forms. We consider a Galois cohomological analog for t…
Mod representations of arithmetic fundamental groups II (A conjecture of A.J. de Jong)
Gebhard Boeckle, Chandrashekhar Khare
As a sequel to our proof of the analog of Serre's conjecture for function fields in Part I of this work, we study in this paper the deformation rings of -dimensional mod …
Mod representations of arithmetic fundamental groups: Part I (An analog of Serre's conjecture for function fields)
Gebhard Boeckle, Chandrashekhar Khare
We formulate for function fields an analog of Serre's conjecture on the modularity of 2-dimensional irreducible mod l representations of the absolute Galois group of Q: our analog…