SFU Number Theory and Algebraic Geometry Seminar: Sho Tanimoto

Manin’s conjecture is a conjectural asymptotic formula for the counting function of rational points on Fano varieties over global fields. Mainly with Brian Lehmann, I have been studying exceptional sets arising in this conjecture. In this talk I would like to discuss my joint work with Brian Lehmann and Akash Sengupta on birational geometry of exceptional sets, then I will discuss applications of this study to understand the geometry of moduli spaces of sections on Fano fibrations which is joint work with Brian Lehmann and Eric Riedl.