5 citations · 5 across the 9 of their papers we have counts for
9 papers
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…
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.…
On the Satake correspondence for the equivariant quantum differential equations and qKZ difference equations of Grassmannians
Giordano Cotti, Alexander Varchenko
We consider the joint system of equivariant quantum differential equations (qDE) and qKZ difference equations for the Grassmannian , which parametrizes -dimensional subs…
On -adic solutions to KZ equations, ordinary crystals, and -hypergeometric solutions
Alexander Varchenko, Vadim Vologodsky
We consider the KZ connection associated with a family of hyperelliptic curves of genus over the ring of -adic integers . Then the dual connection is the Gauss…
-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,.…
Periodic and quasi-motivic pencils of flat connections
Pavel Etingof, Alexander Varchenko
We introduce a new notion of a periodic pencil of flat connections on a smooth algebraic variety . This is a family of flat connections on a trivial vector…