Abstract: From the perspective of a pure mathematician, I find the concept of surface curvature to be beautiful due to the simplicity in its construction. For Gauss, he showed that the Gaussian curvature of a surface was an intrinsic quantity. This is a very important theorem in differential geometry. Gauss referred to it as, "Theorem egregium", which translates to, "very awesome theorem". For others, antimicrobial peptides help protect our immune system by sending a wide range of antibiotics throughout our body. It has been observed that these AMP's sometimes arrange themselves to form a shape with negative Gaussian curvature which helps target microbial membranes (cool!). In this talk, we will simply explore the ideas behind defining curvature for planar curves and surfaces.
Location: Minard 112
Date: Wed 12 April