Одељење за математику, 26. децембар 2025.

Наредни састанак Семинара биће одржан у петак, 26. децембра 2025, сали 301ф Математичког института САНУ са почетком у 14:15. 

Предавач: Filip Živanović, Simons Center for Geometry and Physics at Stony Brook University

Наслов предавања: HILBERT SCHEMES OF SURFACES, MULTIPLICITIES, AND FLOER FILTRATIONS

Апстракт: 
In this talk, I will present the computation of algebraic multiplicities in Hilbert schemes of points on certain symplectic surfaces S. These spaces arise as Moduli spaces of Higgs bundles, and in the mirror symmetry of these spaces, these multiplicities show up naturally, hence the motivation for this work. On the other hand, we also compute the Floer filtration, previously connected to the multiplicities for these surfaces S themselves, realising that in their Hilbert schemes, these two invariants somehow diverge from each other, discovering different geometric data. Joint work with Alexandre Minets.

Напомена: Предавања можете пратити на даљину. Све информације су доступне на страници: https://miteam.mi.sanu.ac.rs/asset/WbsehnSL4ZeTPJo6r