Motivic Integration for Non-Archimedean Analytic Spaces - I

Explore the theory of motivic integration for rigid varieties over complete discrete valued fields in this 54-minute lecture by Jiachang Xu from the University of Miami. Delve into the works of François Loeser and Julien Sebag, examining their approach as a potential foundation for developing motivic integration theory for Berkovich spaces. Gain insights into the possible applications of this theory to logarithmic geometry. This talk serves as an introduction to the complex world of non-Archimedean analytic spaces, offering a deep dive into advanced mathematical concepts for those interested in algebraic geometry and number theory.