Seminario del 2020

2020
06 ottobre
Andrea Ricolfi
nel ciclo di seminari: SEMINARIO DI ALGEBRA E GEOMETRIA
Seminario di algebra e geometria
Recently Okounkov proved Nekrasov’s conjecture expressing the partition function of K-theoretic DT invariants of the Hilbert scheme of points Hilb(C^3,points) on affine 3-space as an explicit plethystic exponential. The higher rank analogue of Nekrasov’s formula is a conjecture in String Theory by Awata-Kanno. We state this conjecture and sketch how to prove it mathematically via Quot schemes. Specialising from K-theoretic to cohomological invariants, we obtain the statement of a conjecture of Szabo. This is joint work with Nadir Fasola and Sergej Monavari.

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