Algebra and Geometry Seminar

Series: Algebra & Geometry Seminar Series

Affine Springer fibers and commutative algebra

Oscar Kivinen, Department of Mathematics, UC Davis,

I will describe how the (co)homology of "diagonal" affine Springer fibers in the affine Grassmannian relates to projective coordinate rings of certain varieties. In the G=GL(n) case, we recover the isospectral Hilbert scheme on the surface C* x C. Time permitting, I will explain how this construction relates to Cherednik algebras and knot homology.

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For more information, please contact Mathematics Dept. by phone at 626-395-4335 or by email at [email protected].