Meetings/Workshops on Graph Theory and Combinatorics in Canada

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1.
 
Algebraic and Geometric Combinatorics of Reflection Groups
ID
880950
Dates
29 May 2017 - 05 Jun 2017
Location
Centre de recherches mathématiques, Universit, Canada
Abstract
This meeting will lie at the interface between algebraic and geometric combinatorial aspects of Coxeter groups and reflection groups. Reflection groups appear in very many domains of mathematics, for instance, - as symmetry groups of regular polytopes — as quotient of Artin-Tits (braid) groups — via root systems, as Weyl groups of semi-simple Lie algebras, Lie groups, algebraic groups, Kac-Moody algebras or cluster algebras and — as discrete reflection groups in geometric group theory.
Related subject(s)
2.
 
Equivariant Combinatorics
ID
881126
Dates
10 Jun 2017 - 23 Jun 2017
Location
Centre de recherches mathématiques, Universit, Canada
Abstract
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.
Related subject(s)

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Last updated: 28 February 2017