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Hilbert scheme of points on singular curves and the Khovanov-Rozansky homology

Prelegent(ci)
Yuze Luan
Afiliacja
IMPAN
Język referatu
angielski
Termin
16 kwietnia 2025 10:15
Pokój
p. 4070
Seminarium
Seminarium „Topologia algebraiczna”

We will define and compute some concrete examples of the homologies of the punctual Hilbert schemes of points on singular plane curves. We will also compute some examples of the Khovanov- Rozansky homologies of some links, and compare the results with the homologies of the Hilbert schemes mentioned above. In general, there is a conjecture describing this equivalence by Oblomkov-Rasmussen-Shende. The reference is the lecture notes.