Speaker
Giovanni Felder
(ETH Zuerich)
Description
The classical hook-length formula in combinatorics relates the number
of standard Young tableaux with given shape to the product of
hook-lengths of the Young diagram. A generalization to skew Young
diagrams is due to Naruse, who obtains it as a limit of a multivariate
generalization arising from equivariant Schubert calculus.
We show that these combinatorial objects appear in a relation between
multidimensional hypergeometric integrals motivated by 3D mirror
symmetry and in the diagonalization of the action of the centre of
U(gl_n) on the space of Whittaker vectors in the tensor product of
dual Verma modules with fundamental modules.
The talk is based on joint work with Andrey Smirnov, Vitaly Tarasov
and Alexander Varchenko.
