Explore the intricacies of the KPZ equation's lower tail asymptotics in this 35-minute lecture by Mattia CAFASSO from the University of Angers, France. Delivered as part of the School and Workshop on Random Matrix Theory and Point Processes, delve into key topics including introduction, motivation, proof techniques, fixed realization, harmonic assumption, simultaneous reconstruction, generalization, and dense assumption. Gain insights into natural problems arising from this study and conclude with a comprehensive overview of the subject matter.