The Fricke-Macbeath Curve and Triple Product L-Functions

Explore the intricate connection between the Fricke-Macbeath curve and triple product L-functions in this illuminating lecture by Benedict Gross from the University of California at San Diego and Harvard University. Delve into the geometric properties of the Fricke-Macbeath curve as Gross applies a significant result by Michael Harris and Steve Kudla on triple product L-functions. This talk, part of the "Theta Series: Representation Theory, Geometry, and Arithmetic" conference held from July 5-9, 2021, at the Fields Institute, offers a deep dive into the intersection of algebraic geometry and number theory. Gain insights into how advanced mathematical concepts can be used to unravel the complexities of specific geometric structures.