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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
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.
math.NT2025
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…