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.