De Rham - Witt KZ equations

2022/12/07 by Schechtman, Vadim, Varchenko, Alexander
#14F30 #81T40 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2212.03628

Abstract

We propose a de Rham - Witt version of the derived Knizhnik-Zamolodchikov equations, and of their hypergeometric realizations. We also propose de Rham - Witt versions of some classical theorems related to arbitrary hyperplane arrangements.

Related

• Derived KZ equations
• Functorial properties of the hypergeometric map
• Solutions of KZ differential equations modulo p
• Finding all solutions to the KZ equations in characteristic p
• What can we learn from Knizhnik--Zamolodchikov Equations?