This is an interdisciplinary study and research program related to the areas of differential geometry, algebraic and differential topology, complex (K�ahler) geometry, complex algebraic geometry, dynamical systems, quantum computation as well as classical and quantum mechanics. We will first study the Special Theory of Parity which is the study of the manifold R^N\times R^N. In General Theory of Parity, we study a general manifold of even-dimensional from the differential and dynamical point of view. Our motivation is the following pioneering paper: �Geometrical Formulation of Quantum Mechanics by A. Ashtekar and T.A. Schilling�. We invite all students and researchers working in one of the above mentioned areas to attend in this program.