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Moduli Spaces associated with Singularities

Project description

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.

Call for proposal

H2020-WF-2018-2020

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Sub call

H2020-WF-02-2019

Coordinator

RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Net EU contribution
€ 151 850,88
Address
Realtanoda Street 13-15
1053 Budapest
Hungary

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Region
Közép-Magyarország Budapest Budapest
Activity type
Other
Other funding
€ 0,00