Geometry Seminar

Date: February 20, 2023

Time: 3:00PM - 3:00PM

Location: BLOC 302

Speaker: Mounir NIsse, Xiamen University Malaysia

Title: Moment map, knots, and coamoebas

Abstract: We give a topological description of the inverse image of the 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 realize any torus knot (more generally, a torus link) as the critical values of the argument map restricted to a complex plane curve. I will give some applications in physics and tropical geometry. Moreover, I will ask some interesting questions in both complex and tropical algebraic geometry. This work is based on a joint work in progress with Yen Kheng Lim.