Zobrazeno 1 - 10
of 61
pro vyhledávání: '"Ivanov, Alexander B."'
In this article we prove orthogonality relations for deep level Deligne--Lusztig varieties of Coxeter type, attached to a reductive group over a local non-archimedean field, which splits over an unramified extension. This extends results of Dudas and
Externí odkaz:
http://arxiv.org/abs/2407.18694
Autor:
Ivanov, Alexander B., Nie, Sian
We determine the cohomology of the closed Drinfeld stratum of $p$-Deligne--Lusztig schemes of Coxeter type attached to arbitrary inner forms of unramified groups over a local non-archimedean field. We prove that the corresponding torus weight spaces
Externí odkaz:
http://arxiv.org/abs/2402.09017
Autor:
Ivanov, Alexander B., Paladino, Laura
We show that the local-global divisibility in commutative algebraic groups defined over number fields can be tested on sets of primes of arbitrary small density, i.e. stable and persistent sets. We also give a new description of the cohomological gro
Externí odkaz:
http://arxiv.org/abs/2309.03514
Autor:
Gleason, Ian, Ivanov, Alexander B.
We introduce and study the stack of \textit{meromorphic} $G$-bundles on the Fargues--Fontaine curve. This object defines a correspondence between the Kottwitz stack $\mathfrak{B}(G)$ and $\operatorname{Bun}_G$. We expect it to play a crucial role in
Externí odkaz:
http://arxiv.org/abs/2307.00887
Autor:
Ivanov, Alexander B.
Publikováno v:
Ãpijournal de Géométrie Algébrique, Volume 7 (September 27, 2023) epiga:8562
We analyze the geometry of some $p$-adic Deligne--Lusztig spaces $X_w(b)$ introduced in [Iva21] attached to an unramified reductive group ${\bf G}$ over a non-archimedean local field. We prove that when ${\bf G}$ is classical, $b$ basic and $w$ Coxet
Externí odkaz:
http://arxiv.org/abs/2109.01424
Autor:
Dudas, Olivier, Ivanov, Alexander B.
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 Lusztig (2004), and of Chan and the second author (2019). Potential applica
Externí odkaz:
http://arxiv.org/abs/2010.15489
Autor:
Ivanov, Alexander B.
We prove that the perfect loop functor $LX$ of a quasi-projective scheme $X$ over a local non-archimedean field $k$ satisfies arc-descent, strengthening a result of Drinfeld. Then we prove that for an unramified reductive group $G$, the map $LG \righ
Externí odkaz:
http://arxiv.org/abs/2003.04399
Autor:
Chan, Charlotte, Ivanov, Alexander B.
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 cohomology of these strata and give a complete description of the uni
Externí odkaz:
http://arxiv.org/abs/2001.06600
Autor:
Chan, Charlotte, Ivanov, Alexander B.
For a reductive group $G$ over a local non-archimedean field $K$ one can mimic the construction from the classical Deligne--Lusztig theory by using the loop space functor. We study this construction in special the case that $G$ is an inner form of ${
Externí odkaz:
http://arxiv.org/abs/1911.03412
Autor:
Chan, Charlotte, Ivanov, Alexander B.
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, which splits over an unramified extension. We compute the character of t
Externí odkaz:
http://arxiv.org/abs/1903.06153