Meetings/Workshops on Graph Theory and Combinatorics in Canada

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Equivariant Combinatorics
10 Jun 2017 - 23 Jun 2017 • Centre de recherches mathématiques, Universit, Canada
Recent years have seen a remarkable expansion of profound interactions between Algebraic Combinatorics, Algebraic Geometry, and Algebraic Topology, exhibiting sometimes surprising ties to Theoretical Physics. These interactions involve objects such as: Operator Algebras on Symmetric Functions; Macdonald Symmetric Functions; Graded Representations of the Symmetric and General Linear Groups; Cohomology Rings of Grassmann and Flag Manifolds; Rational Cherednik Algebras; Representation Stability; etc. Even more recently, Rectangular Catalan Combinatorics has been developed in relation with several subjects covering a wide range of areas of mathematics, including: Representation Theory of the Sn-modules of Diagonal Harmonic Polynomials or Diagonal Coinvariant Spaces; Flag Bundles over the Hilbert Scheme of Points in the Plane (or higher dimension spaces); Affine Springer Fibres; Coloured Khovanov-Rozansky Homology of (m, n)-Torus Knots. Because of the intimate ties that all of these subjects share with algebraic combinatorics, and to underline that they typically involve actions of (perhaps deformed) groups, we have coined the term Equivariant Combinatorics to speak of them.
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