By Matthew O’Cadiz
Faculty mentor: Dr. Yuan-Jen Chiang
10:00-10:50am, HCC 329
We begin by amalgamating Differential Geometry and Group theory and discuss the importance of symmetry in Mathematical Physics. Moreover, we generalize differentiation in the tangent space of a Manifold into the Connection of the Vector Bundle of tangent spaces. We then discuss the Gauge Transformations between two bundles of the tangent space of a manifold locally. We finally derive Yang-Mills equations based on Connections, Tangent Bundles, and Gauge Fields, by Euler Lagrange equation.
