5 citations · 9 across the 9 of their papers we have counts for
10 papers
On the Langlands--Kottwitz--Scholze method
Alex Youcis
Using recent advances in the integral canonical models of Shimura varieties using syntomic methods, we give an extension of the Langlands--Kottwitz--Scholze method from Scholze's p…
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…
Beauville-Laszlo gluing of algebraic spaces
Piotr Achinger, Alex Youcis
For a complete discrete valuation field , we show that one may always glue a separated formal algebraic space over to a separated algebraic space…
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…
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…
The analytic topology suffices for the -Grassmannian
Kestutis Cesnavicius, Alex Youcis
The -affine Grassmannian was introduced by Scholze in the context of the geometric local Langlands program in mixed characteristic and is the Fargues-Fontaine cu…
Variants of the de Jong fundamental group
Piotr Achinger, Marcin Lara, Alex Youcis
For a rigid space , we answer two questions of de Jong about the category of coverings which are locally in the admissible topology on the disj…
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…
Specialization for the pro-étale fundamental group
Piotr Achinger, Marcin Lara, Alex Youcis
For a formal scheme of finite type over a complete rank one valuation ring, we construct a specialization morphism \[ π^{\rm dJ}_1(\mathfrak{X}_η) \to π^{\rm proet}_…
An Approach to the Characterization of the Local Langlands Correspondence
Alexander Bertoloni Meli, Alex Youcis
In this paper, we give a method for characterizing the local Langlands conjectures in the vein of Scholze's alternate proof of the local Langlands conjecture for . M…