Supersymmetry and Trace Formulas: From Atiyah-Singer to Jacobi-Poisson and Selberg - Part 1

Explore the mathematical origins of supersymmetry and its applications in a colloquium talk by Leon Takhtajan from Stony Brook University. Delve into the concept of supersymmetry, which relates bosons and fermions, and discover its significance in mathematics despite lacking experimental confirmation in physics. Learn how supersymmetry leads to the derivation of the Atiyah-Singer formula for the index of the Dirac operator. Gain insights into new applications of supersymmetry in classical trace formulas, specifically the Jacobi-Poisson and Selberg formulas. This 41-minute presentation, based on joint work with Changha Choi, offers a simplified explanation of complex mathematical concepts, making it accessible to a broader audience interested in the intersection of physics and mathematics.

Supersymmetry and trace formulas - Leon Takhtajan (part 1)