12 citations · 40 across the 11 of their papers we have counts for
11 papers
Point Counting on Igusa Varieties for function fields
Paul Hamacher, Wansu Kim
Igusa varieties over the special fibre of Shimura varieties have demonstrated many applications to the Langlands program via Mantovan's formula and Shin's point counting method. In…
On -isoshtukas over function fields
Paul Hamacher, Wansu Kim
In this paper we classify isogeny classes of global -shtukas over a smooth projective curve (or equivalently -conjugacy classes in $\mathsf{G}(\math…
On a refinement of the Birch and Swinnerton-Dyer Conjecture in positive characteristic
David Burns, Mahesh Kakde, Wansu Kim
We formulate a refined version of the Birch and Swinnerton-Dyer conjecture for abelian varieties over global function fields. This refinement incorporates both families of congruen…
-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients
Paul Hamacher, Wansu Kim
Let be a Shimura datum of Hodge type. Let be an odd prime such that splits after a tamely ramified extension and $p\nmid |…
On central leaves of Hodge-type Shimura varieties with parahoric level structure
Wansu Kim
Kisin and Pappas constructed integral models of Hodge-type Shimura varieties with parahoric level structure at , such that the formal neighbourhood of a mod~ point can be i…
2-adic integral canonical models and the Tate conjecture in characteristic 2
Wansu Kim, Keerthi Madapusi Pera
We use E. Lau's classification of 2-divisible groups using Dieudonné displays to construct integral canonical models for Shimura varieties of abelian type at 2-adic places where th…
Local Shtukas, Hodge-Pink Structures and Galois Representations
Urs Hartl, Wansu Kim
We review the analog of Fontaine's theory of crystalline -adic Galois representations and their classification by weakly admissible filtered isocrystals in the arithmetic of fun…
Rapoport-Zink spaces of Hodge type
Wansu Kim
When , we construct a Hodge-type analogue of Rapoport-Zink spaces under the unramifiedness assumption, as formal schemes parametrising "deformations" (up to quasi-isogeny) of…
The relative Breuil-Kisin classification of -divisible groups and finite flat group schemes
Wansu Kim
Assume that , and let be a -adic discrete valuation ring with residue field admitting a finite -basis, and let be a formally smooth formally finite-t…
The classification of -divisible groups over 2-adic discrete valuation rings
Wausu Kim
Let be a 2-adic discrete valuation ring with perfect residue field . We classify -divisible groups and -power order finite flat group schemes over $\mathsc…
Galois deformation theory for norm fields and flat deformation rings
Wansu Kim
Let be a finite extension of , and choose a uniformizer , and put . We introduce a new technique using restriction to $\Gal…