Learning Euler Factors of Elliptic Curves with Transformers

Watch a 32-minute mathematics lecture from the CMSA Mathematics and Machine Learning Closing Workshop where Angelica Babei explores the application of transformer models to understand Euler factors of elliptic curves. Dive into how L-functions, central to the BSD conjecture, contain Euler factors that encode crucial arithmetic information about elliptic curves. Discover recent breakthroughs in machine learning techniques that have led to the identification of murmuration patterns in these mathematical structures. Learn about two distinct approaches to studying Euler factors: analyzing relationships between neighboring factors and examining connections to the curve's Weierstrass equation. Gain insights into the intersection of advanced mathematics and modern machine learning methodologies in number theory research.