Superlinear Structures and Conformal Geometry

Explore the fundamental concepts of superlinear structures and conformal geometry in this 87-minute lecture from the ICTP Mathematics Basic Notions Seminar. Delve into the historical roots of these mathematical concepts, tracing their origins from Graßmann calculus and Fermi statistics to their applications in modern physics. Examine the evolution of conformal geometry and its significance in conformal invariant theories. Investigate the convergence of supersymmetry and conformal geometry, leading to the development of superconformal symmetry groups and field theories. Gain insights into the underlying mathematical principles, with a focus on representation theory. Consider potential new connections between the standard model and superconformal field theories as presented by speaker Rainer Weissauer from the Universität Heidelberg's Mathematisches Institut.