Thermal Transport, Geometry, and Anomalies - Lecture I

Explore the intricate connections between thermal transport phenomena, geometric principles, and quantum anomalies in this comprehensive physics lecture delivered by Maria Vozmediano at the Galileo Galilei Institute. Delve into the fundamental theoretical frameworks that govern how heat flows through materials and systems, examining how geometric properties of physical systems influence thermal conductivity and transport mechanisms. Investigate the role of quantum anomalies in thermal transport processes, understanding how these quantum mechanical effects can lead to unexpected and counterintuitive behaviors in heat conduction. Learn about the mathematical tools and theoretical approaches used to analyze thermal transport in various physical contexts, from condensed matter systems to field theory applications. Discover how geometric considerations, including topology and curvature effects, can dramatically alter thermal transport properties and lead to novel phenomena. Examine specific examples and case studies that illustrate the interplay between geometry, quantum anomalies, and thermal transport, providing concrete applications of these abstract theoretical concepts. Gain insights into current research directions and open questions in this rapidly evolving field that bridges condensed matter physics, quantum field theory, and mathematical physics.