3 papers
math.RT2026
Knizhnik-Zamolodchikov equations in Deligne categories
Pavel Etingof, Ivan Motorin, Alexander Varchenko +1
We consider the Knizhnik-Zamolodchikov equations in Deligne Categories in the context of and dualities.…
math.AG2026
-curvature of periodic pencils of flat connections
Pavel Etingof, Alexander Varchenko
In arXiv:2401.00636 we introduced the notion of a periodic pencil of flat connections on a smooth variety . Namely, a pencil is a linear family of flat connections $\nabla(s_1,.…
math.RA2026
Quaternities, correspondences, and tetrahedron equations (Summa tetralogiae)
Gleb Koshevoy, Vadim Schechtman, Alexander Varchenko
The aim of this note is: (a) to propose a generalization of tetrahedron equations from \cite{S} and of their solutions. Due to appearance of a larger number of parameters the -m…