13 citations · 133 across the 34 of their papers we have counts for
34 papers
Finite Langlands correspondence
Naoki Imai
We construct the Langlands correspondence for connected reductive groups over finite fields, which we call the finite Langlands correspondence. We discuss also its relation with th…
Langlands parameters for reductive groups over finite fields
Naoki Imai, David A. Vogan
We define Langlands parameters for connected reductive groups over finite fields and formulate the Langlands correspondence for finite fields using these parameters.
An integral analogue of Fontaine's crystalline functor
Naoki Imai, Hiroki Kato, Alex Youcis
For a smooth formal scheme over the Witt vectors of a perfect field , we construct a functor from the category of prismatic -cry…
On the geometrization of the local Langlands correspondence
Naoki Imai
This is a survey paper on the geometrization of the local Langlands correspondence by Fargues-Scholze.
A Tannakian framework for prismatic -crystals
Naoki Imai, Hiroki Kato, Alex Youcis
We develop the Tannakian theory of (analytic) prismatic -crystals on a smooth formal scheme over the ring of integers of a discretely valued field with perfect re…
Dualizing complexes on the moduli of parabolic bundles
Linus Hamann, Naoki Imai
For a non-archimedean local field and a connected reductive group over equipped with a parabolic subgroup , we show that the dualizing complex on , t…
The prismatic realization functor for Shimura varieties of abelian type
Naoki Imai, Hiroki Kato, Alex Youcis
For the integral canonical model of a Shimura variety of abelian type at hyperspecial l…
Rapoport-Zink spaces of type GU(2,n-2)
Maria Fox, Benjamin Howard, Naoki Imai
We describe the structure of the supersingular Rapoport-Zink space associated to the group of unitary similitudes of signature (2,n-2) for an unramified quadratic extension of p-ad…
Weights of mod automorphic forms and partial Hasse invariants
Wushi Goldring, Naoki Imai, Jean-Stefan Koskivirta
For a connected, reductive group over a finite field endowed with a cocharacter , we define the zip cone of as the cone of all possible weights of mod automorphi…
The Jacobson--Morozov morphism for Langlands parameters in the relative setting
Alexander Bertoloni Meli, Naoki Imai, Alex Youcis
We construct a moduli space of -parameters over , and show that it has good geometric properties (e.g. explicitly parametrized geometric…
Partial Hasse invariants for Shimura varieties of Hodge-type
Naoki Imai, Jean-Stefan Koskivirta
For a connected reductive group over a finite field, we define partial Hasse invariants on the stack of -zip flags. We obtain similar sections on the flag space of Shimura v…
The supersingular locus of the Shimura variety of
Maria Fox, Naoki Imai
We study the supersingular locus of a reduction at an inert prime of the Shimura variety attached to . More concretely, we realize irreducible components of the…
Automorphic vector bundles on the stack of -zips
Naoki Imai, Jean-Stefan Koskivirta
For a connected reductive group over a finite field, we study automorphic vector bundles on the stack of -zips. In particular, we give a formula in the general case for the…
Local Langlands correspondences in -adic coefficients
Naoki Imai
Let be a prime number different from the residue characteristic of a non-archimedean local field . We give formulations of -adic local Langlands correspondences for…
Mod Weil representations and Deligne--Lusztig inductions for unitary groups
Naoki Imai, Takahiro Tsushima
We study the mod Weil representation of a finite unitary group and related Deligne--Lusztig inductions. In particular, we study their decomposition as representations of a s…
Convolution morphisms and Kottwitz conjecture
Naoki Imai
We define etale cohomology of the moduli spaces of mixed characteristic local shtukas so that it gives smooth representations including the case where the relevant elements of the…
Shintani lifts for Weil representations of unitary groups over finite fields
Naoki Imai, Takahiro Tsushima
We construct extended Weil representations of unitary groups over finite fields geometrically, and show that they are Shintani lifts for Weil representations.
Geometric construction of Heisenberg-Weil representations for finite unitary groups and Howe correspondences
Naoki Imai, Takahiro Tsushima
We give a geometric construction of the Heisenberg-Weil representation of a finite unitary group by the middle étale cohomology of an algebraic variety over a finite field, whose r…
Potentially good reduction loci of Shimura varieties
Naoki Imai, Yoichi Mieda
In this paper, we give a notion of the potentially good reduction locus of a Shimura variety. It consists of the points which should be related with motives having potentially good…
Non-semi-stable loci in Hecke stacks and Fargues' conjecture
Ildar Gaisin, Naoki Imai
We show the Harris--Viehmann conjecture under some Hodge--Newton reducibility condition for a generalization of the diamond of a non-basic Rapoport--Zink space at infinite level, w…
Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations II: wild case
Naoki Imai, Takahiro Tsushima
We construct a family of affinoids in the Lubin-Tate perfectoid space and their formal models such that the middle cohomology of their reductions realizes the local Langlands corre…
Local Galois representations of Swan conductor one
Naoki Imai, Takahiro Tsushima
We construct the local Galois representations over the complex field whose Swan conductors are one by using etale cohomology of Artin-Schreier sheaves on affine lines over finite f…
The remaining cases of the Kramer-Tunnell conjecture
Kestutis Cesnavicius, Naoki Imai
For an elliptic curve over a local field and a separable quadratic extension of , motivated by connections to the Birch and Swinnerton-Dyer conjecture, Kramer and Tunnel…
Local root numbers of elliptic curves over dyadic fields
Naoki Imai
We consider an elliptic curve over a dyadic field with additive, potentially good reduction. We study the finite Galois extension of the dyadic field generated by the three-torsion…