Wansu Kim

activity

20172022

collaborators

5 papers

math.AG2022

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…

math.AG2020

On $G$ -isoshtukas over function fields

Paul Hamacher, Wansu Kim

In this paper we classify isogeny classes of global $G$ -shtukas over a smooth projective curve $C / F_{q}$ (or equivalently $σ$ -conjugacy classes in $\mathsf{G}(\math…

math.NT2018

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…

math.NT2017

$l$ -adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients

Paul Hamacher, Wansu Kim

Let $(G, X)$ be a Shimura datum of Hodge type. Let $p$ be an odd prime such that $G_{Q_{p}}$ splits after a tamely ramified extension and $p\nmid |…

math.AG2017

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 $p > 2$ , such that the formal neighbourhood of a mod~ $p$ point can be i…

Point Counting on Igusa Varieties for function fields

On G-isoshtukas over function fields

On a refinement of the Birch and Swinnerton-Dyer Conjecture in positive characteristic

l-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients

On central leaves of Hodge-type Shimura varieties with parahoric level structure

On $G$ -isoshtukas over function fields

$l$ -adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients