Algebra and geometry seminar 19/03

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Friday, March 19th at 10:30, Sergej Monavari (University of Utrecht)

Higher rank K-theoretic Donaldson-Thomas invariants of points

From the moduli spaces of sheaves on a complex algebraic variety one can extract many interesting invariants of various nature, which are in general very difficult to compute and rarely described by explicit closed formulae. We start reviewing classical results on topological invariants of Hilbert schemes of points for curves and surfaces and then turn to the case of threefolds, where Donaldson-Thomas theory is defined. As an example, we present and prove a closed formula for higher rank K-theoretic DT invariants of points, which solves a conjecture proposed in String Theory. This is based on joint work with N. Fasola and A. Ricolfi.

The seminar will take place online. Click here for the Zoom link.

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Ultimo aggiornamento: 15-02-2021 - 09:16