Title: Knizhnik-Zamolodchikov equations in Deligne categories Show Chinese title

Title: 基尼什尼克-扎莫洛德奇科夫方程在德利涅范畴中

Abstract: We consider the Knizhnik-Zamolodchikov equations in Deligne Categories in the context of $(\mathfrak{gl}_m,\mathfrak{gl}_{n})$ and $(\mathfrak{so}_m,\mathfrak{so}_{2n})$ dualities. We derive integral formulas for the solutions in the first case and compute monodromy in both cases. Show Chinese abstract

Abstract: 我们考虑在 Deligne 范畴中与$(\mathfrak{gl}_m,\mathfrak{gl}_{n})$和$(\mathfrak{so}_m,\mathfrak{so}_{2n})$对偶性相关的 Knizhnik-Zamolodchikov 方程。 我们在第一种情况下推导出解的积分公式，并在两种情况下计算单值化。