4 citations · 8 across the 5 of their papers we have counts for
7 papers
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…
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…
Cohomological representations of parahoric subgroups
Charlotte Chan, Alexander B. Ivanov
We generalize a cohomological construction of representations due to Lusztig from the hyperspecial case to arbitrary parahoric subgroups of a reductive group over a local field, wh…
The smooth locus in infinite-level Rapoport-Zink spaces
Alexander B. Ivanov, Jared Weinstein
Rapoport-Zink spaces are deformation spaces for -divisible groups with additional structure. At infinite level, they become preperfectoid spaces. Let be a…
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…
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…