14 citations · 60 across the 23 of their papers we have counts for
32 papers
-curvature operators and Satake-type phenomenon for KZ equations with
Prakash Belkale, Evgeny Mukhin, Alexander Varchenko
The KZ differential equations with values in the tensor power of the fundamental representation with parameter are considered. A Satake-type correspondence…
Motivic factorisation of KZ local systems and deformations of representation and fusion rings
Prakash Belkale, Najmuddin Fakhruddin, Swarnava Mukhopadhyay
Let be a simple Lie algebra over . The KZ connection is a connection on the constant bundle associated to a set of finite dimensional irreducible rep…
Vertices in multiplicative eigenvalue problem for arbitrary groups
Prakash Belkale, Joshua Kiers
We determine, in an inductive framework, the vertices of the polytope controlling the conjugacy classes of elements which product to one in the maximal compact subgroup $K…
Conformal blocks in genus zero and the KZ connection
Prakash Belkale, Najmuddin Fakhruddin
We survey some recent work on conformal blocks in genus zero, focussing on (1) Chern classes, global generation and morphisms, and (2) the Knizhnik--Zamolodchikov connection on con…
Rigid local systems and the multiplicative eigenvalue problem
Prakash Belkale
We give a construction which produces irreducible complex rigid local systems on via quantum Schubert calculus and strange duality. These lo…
Basepoint free cycles on from Gromov-Witten theory
Prakash Belkale, Angela Gibney
Basepoint free cycles on the moduli space of stable n-pointed rational curves, defined using Gromov-Witten invariants of smooth projective homogeneous spaces X…