Quasisymmetric Schubert calculus

Abstract: We introduce projective schemes that are analogues of the James reduced product construction from homotopy theory and begin to develop a Schubert calculus for such spaces. This machinery yields K-theoretic and T-equivariant analogues of classic quasisymmetric function theory. Based on joint works with Matt Satriano.

machine learningcommutative algebraalgebraic geometryalgebraic topologycombinatoricscategory theoryoperator algebrasrings and algebrasrepresentation theory

Audience: researchers in the topic

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Algebraic and Combinatorial Perspectives in the Mathematical Sciences

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