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Topology of the moment map's fibers and beyond


Speaker: Mounir Nisse
Location: 2112 MSB
Start time: Tue, Feb 14 2023, 1:10PM

Based on Kapovich and Millson paper ``On the moduli spaces of polygons in the Euclidean space" in 1995, we describe the topology of the inverse image of a moment map. In fact, considering a closed mechanical linkage, there is a connection between the fibers of the moment map and polygon linkages. Also, we give some applications in physics and tropical geometry. Moreover, I will ask some interesting questions in both complex and tropical algebraic geometric. This work is based on a joint work in progress with Yen Kheng Lim.