Algebra and Geometry seminar 19/02

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04/02/2021
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Trieste

Friday, February 19th at 10:30, Andrea Ricolfi (SISSA, Trieste)

Higher rank motivic Donaldson-Thomas invariants
 
We define the Grothendieck ring of varieties and the power structure on it. We then present some formulae expressing the naive motive of the Quot scheme of points on a 3-fold, as opposed to its virtual motive, also known as motivic Donaldson-Thomas invariant. In the virtual setup, we will focus mainly on the case of affine 3-space, on which the global case is suitably modelled. The final formula for the generating function of the virtual motives fully solves the higher rank DT theory of a pair (X,F) = (3-fold,vector bundle).
 
The seminar will take place online. Click here for the Zoom link.
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Ultimo aggiornamento: 04-02-2021 - 13:11
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