most citedWeights of mod $p$ automorphic forms and partial Hasse invariants

1 citations · 2 across the 3 of their papers we have counts for

collaborators

11 papers

math.NT20261 cited

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…

math.NT20261 cited

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…

math.NT2026

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…

math.NT2025

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…

math.NT2025

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…

math.NT2025

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…