Representation Theory and Hilbert Schemes of Points on K3 Surfaces

Representation Theory and Hilbert Schemes of Points on K3 Surfaces

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Letao Zhang , Rice University
Fine Hall 322

Let X be a Kaehler deformation of Hilbert scheme of points on a K3 surface. We compute the graded character formula of the generic Mumford-Tate group representation on the cohomology ring of X. Also, we derive a generating series for deducing the number of canonical Hodge classes of degree 2n.