Young Walls and Equivariant Hilbert Schemes of Points in Type D

DOI10.1007/978-3-030-61958-9_3zbMath1468.14006arXiv1911.08226OpenAlexW2989763700MaRDI QIDQ5011661

Ádám Gyenge

Publication date: 27 August 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.08226

zbMATH Keywords

generating functionHilbert scheme of pointsYoung walls

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Singularities in algebraic geometry (14B05) Parametrization (Chow and Hilbert schemes) (14C05)

Cites Work

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• Enumeration of diagonally colored Young diagrams
• Euler characteristics of Hilbert schemes of points on simple surface singularities
• Quiver varieties and Frenkel-Kac construction
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• Hilbert scheme of points on cyclic quotient singularities of type {\((p,1)\)}
• A power structure over the Grothendieck ring of varieties
• A combinatorial study on quiver varieties
• Some theorems on actions of algebraic groups
• Crystal bases of the Fock space representations and string functions
• Affine crystal graphs and two-colored partitions
• Euler Characteristics of Hilbert Schemes of Points On Surfaces with Simple Singularities

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