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algorithms analysis applications approximation asymptotic boundary C*-algebra Canada CATEGORY THEORY characterization classical cohomology combinatorial combinatorics compact complex Computer Science conjecture construction convergence convex curve cyclic cohomology defined Department of Mathematics Dept describe developed dimensional dimensions discuss domain dynamics equivalent examples finite flag manifolds formula geometry global graph Hamiltonian Henstock-Kurzweil integrable Hilbert Hilbert function homotopy Hopf algebras inequality infinite integral invariants July 07 July 14 June lattice Lie algebras linear manifolds maps Math Mathematical Sciences Mathematics Mathematics and Statistics matrix measure method modules moduli space non-commutative nonlinear number theory obtained Ontario operad operators Poisson polynomials Preliminary report problem proof properties prove quantum random real number Received April Received July Received July 14 recent representation ring Schubert calculus Schubert polynomials Schubert varieties sequence singular solutions structure subset subspace symmetric symplectic talk theorem topology Toronto transform University Waterloo wavelet