167 citations · 585 across the 36 of their papers we have counts for
39 papers
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.…
-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…
Polynomial Solutions Modulo of Differential KZ and Dynamical Equations
Pavel Etingof, Alexander Varchenko
We construct polynomial solutions modulo of the differential KZ and dynamical equations where is an odd prime number.
New realizations of deformed double current algebras and Deligne categories
Pavel Etingof, Daniil Kalinov, Eric Rains
In this paper we propose an alternative construction of a certain class of Deformed Double Current Algebras. We construct them as spherical subalgebras of symplectic reflection alg…
Pointed Hopf actions on central simple division algebras
Pavel Etingof, Cris Negron
We examine actions of finite-dimensional pointed Hopf algebras on central simple division algebras in characteristic 0. (By a Hopf action we mean a Hopf module algebra structure.)…