Title: Polygon Spaces and Quaternions
Abstract: The polygon
spaces are conisdered as important models in various research areas
including algebraic geometry and symplectic geometry. In this talk, we
consider the relationships between the polygon spaces and Grassmannian
spaces. We introduce new model of the relationship between
Grassmannians and moduli space of polygons in R^{3}. Therefrom we
extend the relationship to quaternions, we show the relations
between quaternionic Grassmanians and polygons in R^{5} via spin
represenation.