6 citations · 27 across the 11 of their papers we have counts for
11 papers · 1 filter
Meromorphic vector bundles on the Fargues--Fontaine curve
Ian Gleason, Alexander B. Ivanov, Felix Zillinger
We introduce and study the stack of \textit{meromorphic} -bundles on the Fargues--Fontaine curve. This object defines a correspondence between the Kottwitz stack $\mathfrak{B}(G…
On a decomposition of -adic Coxeter orbits
Alexander B. Ivanov
We analyze the geometry of some -adic Deligne--Lusztig spaces introduced in [Iva21] attached to an unramified reductive group over a non-archimedean local fie…
Arc-descent for the perfect loop functor and -adic Deligne--Lusztig spaces
Alexander B. Ivanov
We prove that the perfect loop functor of a quasi-projective scheme over a local non-archimedean field satisfies arc-descent, strengthening a result of Drinfeld. Then…
The Drinfeld stratification for
Charlotte Chan, Alexander B. Ivanov
We define a stratification of Deligne--Lusztig varieties and their parahoric analogues which we call the Drinfeld stratification. In the setting of inner forms of GLn, we study the…
On loop Deligne--Lusztig varieties of Coxeter-type for inner forms of
Charlotte Chan, Alexander B. Ivanov
For a reductive group over a local non-archimedean field one can mimic the construction from the classical Deligne--Lusztig theory by using the loop space functor. We study…
Affine Deligne-Lusztig varieties at infinite level
Charlotte Chan, Alexander B. Ivanov
We initiate the study of affine Deligne-Lusztig varieties with arbitrarily deep level structure for general reductive groups over local fields. We prove that for GLn and its inner…
Ordinary -representations in characteristic two via affine Deligne-Lusztig constructions
Alexander B. Ivanov
The group $\GL_2$ over a local field with (residue) characteristic possesses much more smooth supercuspidal -adic representations, than over a local field of residue char…
Ramified automorphic induction and zero-dimensional affine Deligne-Lusztig varieties
Alexander B. Ivanov
To any connected reductive group G over a non-archimedean local field F (of characteristic p > 0) and to any maximal torus T of G, we attach a family of extended affine Deligne-Lus…
Affine Deligne-Lusztig varieties of higher level and the local Langlands correspondence for
Alexander Ivanov
In the present article we define coverings of affine Deligne-Lusztig varieties attached to a connected reductive group over a local field of characteristic . In the case of…
On a finite type property of certain affine Deligne-Lusztig varieties
Alexander Ivanov
We give a new proof of the fact that affine Deligne-Lusztig varieties for an algebraic group of adjoint type, associated with superbasic elements, are of finite type. The proof use…
The cohomology of the affine Deligne-Lusztig varieties in the affine flag manifold of
Alexander Ivanov
This paper studies affine Deligne-Lusztig varieties in the affine flag manifold of GL_2. At first we determine all such varieties up to isomorphy. After this we investigate the rep…