Elmar Grosse-Klonne

activity

20142024

p

Iwahori-Hecke modules to

(φ, Γ)

-modules I

18 citations · 40 across the 17 of their papers we have counts for

collaborators

Showing 2014Show all

16 papers · 1 filter

math.RT2014★ 1 cited

Locally unitary principal series representations of $GL_{d + 1} (F)$

Elmar Grosse-Klönne

For a local field $F$ we consider tamely ramified principal series representations $V$ of $G = GL_{d + 1} (F)$ with coefficients in a finite extension $K$ of $Q_{p}$ . Let…

math.RT2014★ 1 cited

On the universal module of $p$ -adic spherical Hecke algebras

Elmar Grosse-Klönne

Let $G$ be a split connected reductive group with connected center $Z$ over a local non-Archimedean field $F$ of residue characteristic $p$ , let $K$ be a hy…

math.RT2014

$p$ -torsion coefficient systems for $SL_{2} (Q_{p})$ and $GL_{2} (Q_{p})$ ,

Elmar Grosse-Klönne

We show that the categories of smooth $SL_{2} (Q_{p})$ -representations (resp. $GL_{2} (Q_{p})$ -representations) of level $1$ on $p$ -torsion modules are equiva…

math.AG2014

On the $p$ -adic cohomology of some $p$ -adically uniformized varieties

Elmar Grosse-Klönne

Let $K$ be a finite extension of $Q_{p}$ and let $X$ be Drinfel'd's symmetric space of dimension $d$ over $K$ . Let $Γ \subset SL_{d + 1} (K)$ be a cocompact discrete (tor…

math.AG2014

Sheaves of bounded $p$ -adic logarithmic differential forms

Elmar Grosse-Klönne

Let $K$ be a local field, $X$ the Drinfel'd symmetric space $X$ of dimension $d$ over $K$ and $X$ the natural formal $O_{K}$ -scheme underlying $X$ ; thus $G={\r…

math.RT2014

On the crystalline cohomology of Deligne-Lusztig varieties

Elmar Grosse-Klönne

Let $X \to Y^{0}$ be an abelian prime-to- $p$ Galois covering of smooth schemes over a perfect field $k$ of characteristic $p > 0$ . Let $Y$ be a smooth compactification of $Y^{0}$ such tha…

math.AG2014

The Cech filtration and monodromy in log crystalline cohomology

Elmar Grosse-Klönne

For a strictly semistable log scheme $Y$ over a perfect field $k$ of characteristic $p$ we investigate the canonical Čech spectral sequence $(C)_{T}$ abutting to the Hyodo-Kato (log…

math.RT2014

Equivariant crystalline cohomology and base change

Elmar Grosse-Klönne

Given a perfect field $k$ of characteristic $p > 0$ , a smooth proper $k$ -scheme $Y$ , a crystal $E$ on $Y$ relative to $W (k)$ and a finite group $G$ acting on $Y$ and $E$ , we show tha…

math.RT2014★ 5 cited

Integral structures in the $p$ -adic holomorphic discrete series

Elmar Grosse-Klönne

For a local non-Archimedean field $K$ we construct $GL_{d + 1} (K)$ -equivariant coherent sheaves $V_{O_{K}}$ on the formal $O_{K}$ -scheme ${\mathfra…

math.RT2014

Acyclic coefficient systems on buildings

Elmar Grosse-Klönne

For cohomological (resp. homological) coefficient systems $F$ (resp. $V$ ) on affine buildings $X$ with Coxeter data of type $A_{d}$ we give for any…

math.AG2014★ 2 cited

Frobenius and monodromy operators in rigid analysis, and Drinfel'd's symmetric space

Elmar Grosse-Klönne

We define Frobenius and monodromy operators on the de Rham cohomology of $K$ -dagger spaces (rigid spaces with overconvergent structure sheaves) with strictly semistable reduction $…

math.NT2014

Integral structures in automorphic line bundles on the $p$ -adic upper half plane

Elmar Grosse-Klönne

Given an automorphic line bundle $O_{X} (k)$ of weight $k$ on the Drinfel'd upper half plane $X$ over a local field $K$ , we construct a $GL_{2} (K)$ -equivariant integral…

math.AG2014

Compactifications of Log Morphisms

Elmar Grosse-Klönne

We introduce the notion of a relative log scheme with boundary: a morphism of log schemes together with a (log schematically) dense open immersion of its source into a third log sc…

math.NT2014★ 6 cited

On Families of Pure Slope $L$ -Functions

Elmar Grosse-Klönne

Let $R$ be the ring of integers in a finite extension $K$ of $Q_{p}$ , let $k$ be its residue field and let $χ : π_{1} (X) \to R^{\times} = G L_{1} (R)$ be a "geometric" rank one repre…

math.AG2014

Rigid analytic spaces with overconvergent structure sheaf

Elmar Grosse-Klönne

We introduce a category of 'rigid spaces with overconvergent structure sheaf' which we call dagger spaces --- this is the correct category in which de Rham cohomology in rigid anal…

math.AG2014

Finiteness of de Rham cohomology in rigid analysis

Elmar Grosse-Klönne

For a big class of smooth dagger spaces --- dagger spaces are 'rigid spaces with overconvergent structure sheaf' --- we prove finite dimensionality of de Rham cohomology. This is e…

Locally unitary principal series representations of GLd+1​(F)

On the universal module of p-adic spherical Hecke algebras

p-torsion coefficient systems for SL2​(Qp​) and GL2​(Qp​),

On the p-adic cohomology of some p-adically uniformized varieties

Sheaves of bounded p-adic logarithmic differential forms

On the crystalline cohomology of Deligne-Lusztig varieties

The Cech filtration and monodromy in log crystalline cohomology

Equivariant crystalline cohomology and base change

Integral structures in the p-adic holomorphic discrete series

Acyclic coefficient systems on buildings

Frobenius and monodromy operators in rigid analysis, and Drinfel'd's symmetric space

Integral structures in automorphic line bundles on the p-adic upper half plane

Compactifications of Log Morphisms

On Families of Pure Slope L-Functions

Rigid analytic spaces with overconvergent structure sheaf

Finiteness of de Rham cohomology in rigid analysis

Locally unitary principal series representations of $GL_{d + 1} (F)$

On the universal module of $p$ -adic spherical Hecke algebras

$p$ -torsion coefficient systems for $SL_{2} (Q_{p})$ and $GL_{2} (Q_{p})$ ,

On the $p$ -adic cohomology of some $p$ -adically uniformized varieties

Sheaves of bounded $p$ -adic logarithmic differential forms

Integral structures in the $p$ -adic holomorphic discrete series

Integral structures in automorphic line bundles on the $p$ -adic upper half plane

On Families of Pure Slope $L$ -Functions