Calabi-Yaus and Curves in Feynman Integrals

Explore the intricate connections between Calabi-Yau manifolds, algebraic curves, and Feynman integrals in this advanced physics lecture. Delve into the mathematical foundations that underpin modern theoretical physics as the speaker unravels the complex relationships between these seemingly disparate concepts. Gain insights into how these mathematical structures emerge in the context of quantum field theory and string theory calculations. Examine the role of Calabi-Yau manifolds in describing compact extra dimensions and their relevance to Feynman diagram computations. Investigate the appearance of algebraic curves in the evaluation of multi-loop Feynman integrals and their geometric interpretations. Discover how these mathematical tools contribute to our understanding of fundamental particle interactions and the nature of spacetime.