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

Speaker(s)

Yuze Luan

Affiliation

IMPAN

Language of the talk

English

Date

April 16, 2025, 10:15 a.m.

Room

room 4070

Seminar

Seminar Algebraic Topology

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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.

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