Algebraic Geometry Seminar

Event Information New Perspectives on Quantum Matter from Algebraic Geometry
14:00 on Friday February 17, 2023
15:00 on Friday February 17, 2023
BA1130, Bahen Center, 40 St. George St.
Steve Rayan

University of Saskatchewan

In recent decades, algebraic topology has become an important tool in condensed matter physics, especially around the study and classification of topological materials, which are a form of so-called “quantum matter”. In this talk, I will give a window into the very recent emergence of algebraic geometry in condensed matter physics through my work on hyperbolic band theory, which anticipates a new form of synthetic quantum matter based on hyperbolic geometries. These ideas involve stable bundles and Higgs bundles on algebraic curves. This talk will not assume any physics background.