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math.RT2025
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…
math.RT2025
On the geometric Satake equivalence for Kac-Moody groups
Alexis Bouthier, Eric Vasserot
This article establishes a geometric Satake equivalence for affine Kac-Moody groups as an equivalence of abelian semisimple categories over algebraically closed fields. We define a…
math.RT2025
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…