Research seminar by MSc students
11:50 - 1:05, Seminar Hall
Geometry of the moduli space of polygons
Chennai Mathematical Institute.
The moduli space of polygons is defined to be the space of closed piecewise linear paths in R^2 or R^3 modulo orientation preserving isometries. They can be realised as quotients of Grassmannians. If we further fix the length of each step, the moduli spaces M_r so obtained can be seen as symplectic quotients. These are always complex analytic and for generic and proper edge-lengths they are even Kähler. If time permits, I'll define a Hamiltonian torus action on M_r obtained by ``bending diagonals" and provide ``action-angle coordinates".