A. Varchenko

collaborators

3 papers

math-ph2026

Finding All Solutions of qKZ Equations in Characteristic $p$

Evgeny Mukhin, Alexander Varchenko

In [J. Lond. Math. Soc. 109 (2024), e12884, 22 pages, arXiv:2208.09721], the difference qKZ equations were considered modulo a prime number $p$ and a family of polynomial solutions…

math.NT2025

$p$ -curvature operators and Satake-type phenomenon for $sl_{2}$ KZ equations with $I^º = \pm 2$

Prakash Belkale, Evgeny Mukhin, Alexander Varchenko

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

math-ph2025

Finding all solutions to the KZ equations in characteristic $p$

Alexander Varchenko, Vadim Vologodsky

The KZ equations are differential equations satisfied by the correlation functions (on the Riemann sphere) of two-dimensional conformal field theories associated with an affine Lie…

Finding All Solutions of qKZ Equations in Characteristic p

p-curvature operators and Satake-type phenomenon for sl2​ KZ equations with I^º=±2

Finding all solutions to the KZ equations in characteristic p

Finding All Solutions of qKZ Equations in Characteristic $p$

$p$ -curvature operators and Satake-type phenomenon for $sl_{2}$ KZ equations with $I^º = \pm 2$

Finding all solutions to the KZ equations in characteristic $p$