102 citations · 259 across the 25 of their papers we have counts for
28 papers
Representations of shifted affine quantum groups and Coulomb branches
Michela Varagnolo, Eric Vasserot
We compare the integral category O of shifted affine quantum groups of symmetric and non symmetric types. To do so we compute the K-theoretic analog of the Coulomb branches with sy…
Non symmetric quantum loop groups and K-theory
Michela Varagnolo, Eric Vasserot
We realize the quantum loop groups and shifted quantum loop groups of arbitrary types, possibly non symmetric, using critical K-theory. This generalizes the Nakajima construction o…
Quantum loop groups and critical convolution algebras
Michela Varagnolo, Eric Vasserot
We realize geometrically a family of simple modules of (shifted) quantum loop groups including Kirillov-Reshetikhin and prefundamental representations. To do this, we introduce a n…
K-theoretic Hall algebras, quantum groups and super quantum groups
Michela Varagnolo, Eric Vasserot
We first prove that the K-theoretic Hall algebra of a preprojective algebra of affine type is isomorphic to the positive half of a quantum toroidal quantum group. An essential step…
Coherent categorification of quantum loop algebras : the case
Peng Shan, Michela Varagnolo, Eric Vasserot
We construct an equivalence of graded Abelian categories from a category of representations of the quiver-Hecke algebra of type to the category of equivariant perverse…
Categorical actions on unipotent representations of finite classical groups
Olivier Dudas, Michela Varagnolo, Eric Vasserot
We review the categorical representation of a Kac-Moody algebra on unipotent representations of finite unitary groups in non-defining characteristic given by the authors. Then, we…