Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Wadsley, Simon"'
Autor:
Ardakov, Konstantin, Wadsley, Simon
Let $F$ be a finite extension of $\mathbb{Q}_p$, let $\Omega_F$ be Drinfeld's upper half-plane over $F$ and let $G^0$ the subgroup of $GL_2(F)$ consisting of elements whose determinant has norm $1$. Let $\mathscr{L}$ be a torsion $G^0$-equivariant li
Externí odkaz:
http://arxiv.org/abs/2312.12395
Autor:
Ardakov, Konstantin, Wadsley, Simon J.
Let $F$ be a finite extension of $\mathbb{Q}_p$, let $\Omega_F$ be Drinfeld's upper half-plane over $F$ and let $G^0$ the subgroup of $GL_2(F)$ consisting of elements whose determinant has norm $1$. By working locally on $\Omega_F$, we construct and
Externí odkaz:
http://arxiv.org/abs/2309.05462
We develop a dimension theory for coadmissible D-cap-modules on rigid analytic spaces and study those which are of minimal dimension, in analogy to the theory of holonomic D-modules in the algebraic setting. We discuss a number of pathologies contain
Externí odkaz:
http://arxiv.org/abs/1904.13280
Autor:
Wadsley, Simon, Woods, Nick
A PROP is a symmetric monoidal category whose objects are the nonnegative integers and whose tensor product on objects is addition. A morphism from $m$ to $n$ in a PROP can be visualized as a string diagram with $m$ input wires and $n$ output wires.
Externí odkaz:
http://arxiv.org/abs/1505.00048
Autor:
Ardakov, Konstantin, Wadsley, Simon J.
We prove that the category of coadmissible D-cap-modules on a smooth rigid analytic space supported on a closed smooth subvariety is naturally equivalent to the category of coadmissible D-cap-modules on the subvariety, and use this result to construc
Externí odkaz:
http://arxiv.org/abs/1502.01273
Autor:
Ardakov, Konstantin, Wadsley, Simon
We introduce a sheaf of infinite order differential operators D-cap on smooth rigid analytic spaces that is a rigid analytic quantisation of the cotangent bundle. We show that the sections of this sheaf over sufficiently small affinoid varieties are
Externí odkaz:
http://arxiv.org/abs/1501.02215
Autor:
Ardakov, Konstantin, Wadsley, Simon
We establish the faithfulness of Verma modules for rational Iwasawa algebras of split semisimple compact $L$-analytic groups. We also prove the algebraic independence of Arens-Michael envelopes over Iwasawa algebras and compute the centre of affinoid
Externí odkaz:
http://arxiv.org/abs/1308.5104
Autor:
Wadsley, Simon
We discuss Euler characteristics for finitely generated modules over Iwasawa algebras. We show that the Euler characteristic of a module is well-defined whenever the 0th homology group is finite if and only if the relevant compact p-adic Lie group is
Externí odkaz:
http://arxiv.org/abs/0909.3763
Autor:
Ardakov, Konstantin, Wadsley, Simon
We study certain aspects of the algebraic K-theory of Hopf-Galois extensions. We show that the Cartan map from K-theory to G-theory of such an extension is a rational isomorphism, provided the ring of coinvariants is regular, the Hopf algebra is fini
Externí odkaz:
http://arxiv.org/abs/math/0703664
Autor:
Ardakov, Konstantin, Wadsley, Simon
Let G be a compact p-adic analytic group. We study K-theoretic questions related to the representation theory of the completed group algebra kG of G with coefficients in a finite field k of characteristic p. We show that if M is a finitely generated
Externí odkaz:
http://arxiv.org/abs/math/0611037