6 citations · 27 across the 11 of their papers we have counts for
14 papers
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…
Orthogonality relations for deep level Deligne--Lusztig schemes of Coxeter type
Olivier Dudas, Alexander B. Ivanov
In this paper we prove some orthogonality relations for representations arising from deep level Deligne--Lusztig schemes of Coxeter type. This generalizes previous results of Luszt…
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…