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 2014 · math.RTShow all

7 papers · 2 filters

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.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.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…

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 crystalline cohomology of Deligne-Lusztig varieties

Equivariant crystalline cohomology and base change

Integral structures in the p-adic holomorphic discrete series

Acyclic coefficient systems on buildings

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 $GL_{2} (Q_{p})$ ,

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