Exponential Sums on Curves Over Finite Fields - The Asymptotic Theory

Explore the asymptotic theory of exponential sums on curves over finite fields in this 48-minute conference talk presented by Chung Pang Mok at BIMSA's ICBS2025. Delve into advanced mathematical concepts examining how exponential sums behave on algebraic curves defined over finite fields, with particular focus on their asymptotic properties and theoretical foundations. Gain insights into this specialized area of algebraic geometry and number theory, understanding the mathematical frameworks used to analyze these complex structures and their long-term behavioral patterns.