Hilbert schemes of points on surfaces with singularities
Hilbert schemes, which parametrise subschemes in algebraic varieties, have been extensively studied in algebraic geometry over the last 50 years. The EU-funded ModSingLDT project plans to study the enumerative invariants of one of the most interesting classes of Hilbert schemes, namely zero-dimensional subschemes of some basic classes of surface singularities. The project will also search for connections between the enumerative invariants and the Chern-Simons theory on the links of the singularities. To achieve its objectives, it will use representations of vertex (operator) algebras on the cohomologies or the derived categories of these moduli spaces as well as motivic measures with values in the Grothendieck rings of geometric dg categories.
Fields of science
Call for proposalSee other projects for this call
Funding SchemeMSCA-IF-EF-ST - Standard EF
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