Explore a conference talk on the lower bound of the maximal number of rational points on curves over finite fields. Delve into the intricacies of algebraic geometry as Eliza Lorenzo Garcia presents at the "Conference On alGebraic varieties over fiNite fields and Algebraic geometry Codes" held at the Centre International de Rencontres Mathématiques in Marseille, France. Follow the speaker's journey through various mathematical concepts, including curve definitions, Kzarnak Theory, and related theorems. Gain insights into the speaker's methodologies, strategies, and proofs as they tackle complex questions in this field. Access this one-hour recording, complete with chapter markers and keywords, through CIRM's Audiovisual Mathematics Library for a comprehensive understanding of this advanced mathematical topic.