5 citations · 9 across the 9 of their papers we have counts for
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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…
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 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…
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…