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Geometry and the Dyck path algebra

Algebraic Geometry

Speaker: Erik Carlsson, UC Davis
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Location: 2112 MSB
Start time: Wed, Oct 4 2017, 11:00AM

I'll explain a new result with E. Gorsky and A. Mellit, in which we prove that the algebra constructed by myself and Mellit in our proof of the shuffle conjecture, acts on the equivariant K-theory of a certain subscheme of the flag Hilbert scheme, which we have proved is smooth. This is the first step towards "categorification" of this algebra, and is important for extending the method to further deep topics, such as the relation with refined knot invariants and the cohomology of the affine Springer fiber.