Tag: Matthew O'Cadiz

  • Lie Groups, Manifolds, Gauge Fields, and Yang-Mills Equations 

    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…