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.