Explore the first lecture of MINICOURSE 2 on rational surfaces over a field, part of the AGRA IV (Arithmetic, Groups and Analysis) series. Delve into this hour-long presentation by renowned speakers Damiano Testa from Warwick, UK, and Tony Varilly-Alvarado from Rice, USA. Gain insights into the fascinating world of algebraic geometry and number theory as these experts discuss the properties and characteristics of rational surfaces. Enhance your understanding of advanced mathematical concepts and their applications in this comprehensive lecture, designed for graduate students and researchers in mathematics.