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.

The Fricke-Macbeath curve and triple product L-functions