$p$-curvature operators and Satake-type phenomenon for ${\mathfrak{sl}}_2$ KZ equations with $\hat{I}º=\pm 2$

Prakash Belkale, Evgeny Mukhin, Alexander Varchenko

The ${\mathfrak{sl}}_2$ KZ differential equations with values in the tensor power of the fundamental representation with parameter $\hat{I}º=\pm 2$ are considered. A Satake-type correspondence…