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

Xuanyou Li, Chenhan Liu

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