Number Theory Seminar

Speaker: Sho Tanimoto (Copenhagen)

Title: Rational curves on Fano 3-folds

Abstract: Brian Lehmann and I have been studying the geometry of exceptional sets in Manin’s conjecture using birational geometry. Recently we found applications of this study to the study of the space of rational curves. In the upcoming event ‘'Rational points and Zariski density’’, I will talk about these developments focusing on the motivation and the theoretical framework. In this talk, I would like to explain how the geometry of exceptional sets helps to understand dimension and number of components of moduli spaces of rational curves by working out some examples of Fano 3-folds. This is joint work with Brian Lehmann.