Explore a cutting-edge mathematical lecture on the modularity of abelian surfaces over the rationals. Delve into the ongoing research conducted by Vincent Pilloni in collaboration with G. Boxer, F. Calegari, and T. Gee. Learn about their groundbreaking proof demonstrating the modularity of a positive proportion of abelian surfaces. Gain insights into this complex topic as presented by Vincent Pilloni, a researcher from CNRS and Université Paris-Saclay, during his talk at the Institut des Hautes Etudes Scientifiques (IHES). Enhance your understanding of advanced algebraic geometry and number theory concepts in this hour-long presentation.