A Journey from Statistical Mechanics to Number Theory

Embark on a fascinating 39-minute journey exploring the intersection of statistical mechanics and number theory in this illuminating talk by Louis-Pierre Arguin. Discover how concepts from theoretical physics, particularly equilibrium statistical mechanics, provide valuable insights into number-theoretical questions, focusing on the study of the Riemann zeta function. Explore the intriguing connections between large values of the zeta function in short intervals and phase transitions in disordered systems. Gain an introductory understanding of these complex topics, with an emphasis on elementary concepts of equilibrium statistical mechanics learned from Yvan Saint-Aubin. This presentation, part of the Workshop on Integrable systems, exactly solvable models and algebras, offers a unique perspective on the interdisciplinary nature of mathematical research.