Supersymmetry and Trace Formulas: From Atiyah-Singer to Jacobi-Poisson and Selberg
Offered By: Stony Brook Mathematics via YouTube
Course Description
Overview
Explore the mathematical origins and applications of supersymmetry in this Stony Brook Mathematics Colloquium talk. Delve into the concept's relation to bosons and fermions, and its significance in mathematics despite lacking experimental confirmation in physics. Learn about the derivation of the Atiyah-Singer formula for the index of the Dirac operator using supersymmetry principles. Discover new applications leading to classical trace formulas of Jacobi-Poisson and Selberg. Gain insights from the speaker's joint work with Changha Choi, as presented in their recent arXiv publications.
Syllabus
Supersymmetry and trace formulas - Leon Takhtajan
Taught by
Stony Brook Mathematics
Related Courses
Statistical MechanicsNPTEL via YouTube The Map of Particle Physics - The Standard Model Explained
Domain of Science via YouTube Topology and Physics - Clay Cordova with Edward Witten
Institute for Advanced Study via YouTube Variational Wavefunctions, Machine Learning Architecture for Fermions and Gauge Theories
Institute for Pure & Applied Mathematics (IPAM) via YouTube Bosons and Fermions, From Few to Many - Stefano Gandolfi
Kavli Institute for Theoretical Physics via YouTube