Xuanyou Li

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20242026

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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

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…

Arithmetic hypergeometric D-modules and exponential sums on reductive groups

Twisted Higgs bundles and coendoscopy

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