Xuanyou Li

collaborators

4 papers

math.AG2026

Arithmetic hypergeometric $D$ -modules and exponential sums on reductive groups

Lei Fu, Xuanyou Li, Chenhan Liu

For a finite family of representations of a reductive group, we define a Laurent polynomial on the group. The exponential sum associated this Laurent polynomial is called a hyperge…

math.AG2026

Hypergeometric $D$ -modules and exponential sums for reductive groups

Lei Fu, Xuanyou Li

We define the hypergeometric exponential sum associated to a family of representations of a reductive group over a finite field. We introduce the hypergeometric $ℓ$ -adic sheaf t…

math.AG2026

Twisted Higgs bundles and coendoscopy

Michael Groechenig, Xuanyou Li, Dimitri Wyss +1

This short note is devoted to the study of $G$ -Higgs bundles twisted by a central gerbe. These objects arise naturally in the decomposition of the inertia stacks of $G$ -Higgs bundl…

math.AG2025

$p$ -adic hypergeometric $D^{†} (\infty)$ -module and exponential sums on reductive groups

Xuanyou Li, Chenhan Liu

We study the $p$ -adic analogue of the $ℓ$ -adic hypergeometric sheaves for reductive groups, called the hypergeometric $D^{†} (\infty)$ -modules. They are overholon…

Arithmetic hypergeometric D-modules and exponential sums on reductive groups

Hypergeometric D-modules and exponential sums for reductive groups

Twisted Higgs bundles and coendoscopy

p-adic hypergeometric D†(∞)-module and exponential sums on reductive groups

Arithmetic hypergeometric $D$ -modules and exponential sums on reductive groups

Hypergeometric $D$ -modules and exponential sums for reductive groups

$p$ -adic hypergeometric $D^{†} (\infty)$ -module and exponential sums on reductive groups