Proves formula for Euler numbers of Hilb^n(C²/Γ) by establishing that quantum dimensions of standard modules of associated quantum affine algebras are 1 at a specific root of unity, including for E7 and E8 cases.
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Introductory article presenting a mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras based on those branches.
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Euler numbers of Hilbert schemes of points on simple surface singularities and quantum dimensions of standard modules of quantum affine algebras
Proves formula for Euler numbers of Hilb^n(C²/Γ) by establishing that quantum dimensions of standard modules of associated quantum affine algebras are 1 at a specific root of unity, including for E7 and E8 cases.
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A mathematical definition of Coulomb branches of supersymmetric gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras
Introductory article presenting a mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras based on those branches.