Eugen Hellmann
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View article: Patching and multiplicities of p-adiceigenforms
Patching and multiplicities of p-adiceigenforms Open
International audience
View article: Patching and multiplicities of p-adic eigenforms
Patching and multiplicities of p-adic eigenforms Open
We prove the existence of non-classical $p$-adic automorphic eigenforms associated to a classical system of eigenvalues on definite unitary groups in $3$ variables. These eigenforms are associated to Galois representations which are crysta…
View article: On the derived category of the Iwahori–Hecke algebra
On the derived category of the Iwahori–Hecke algebra Open
We state a conjecture that relates the derived category of smooth representations of a $p$ -adic split reductive group with the derived category of (quasi-)coherent sheaves on a stack of L-parameters. We investigate the conjecture in the c…
View article: An introduction to the categorical p-adic Langlands program
An introduction to the categorical p-adic Langlands program Open
We give an introduction to the "categorical" approach to the p-adic Langlands program, in both the "Banach" and "analytic" settings.
View article: Density of automorphic points in deformation rings of polarized global Galois representations
Density of automorphic points in deformation rings of polarized global Galois representations Open
Conjecturally, the Galois representations that are attached to essentially selfdual regular algebraic cuspidal automorphic representations are Zariski-dense in a polarized Galois deformation ring. We prove new results in this direction in …
View article: On the derived category of the Iwahori-Hecke algebra
On the derived category of the Iwahori-Hecke algebra Open
We state a conjecture that relates the derived category of smooth representations of a p-adic split reductive group with the derived category of (quasi-)coherent sheaves on a stack of L-parameters. We investigate the conjecture in the case…
View article: Families of $p$-adic Galois representations and $(\phi, \Gamma)$-modules
Families of $p$-adic Galois representations and $(\phi, \Gamma)$-modules Open
We investigate the relation between p -adic Galois representations and overconvergent (\phi,\Gamma) -modules in families. Especially we construct a natural open subspace of a family of (\phi,\Gamma) -modules, over which it is induced by a …
View article: Density of potentially crystalline representations of fixed weight
Density of potentially crystalline representations of fixed weight Open
Let $K$ be a finite extension of $\mathbb{Q}_{p}$ and let $\bar{\unicode[STIX]{x1D70C}}$ be a continuous, absolutely irreducible representation of its absolute Galois group with values in a finite field of characteristic $p$ . We prove tha…