Joint Number theory/Geometry and Analysis seminar

Speaker: Sho Tanimoto (UCPH)

Title: Zero-loci of Brauer elements on semisimple groups

Abstract: Suppose that we have a family of smooth projective varieties defined over a number field k whose base is a projective space. One can consider the number of varieties in the family containing a k-rational points and its asymptotic formula. Such a problem was first considered by Serre for a family of conics. In this talk I would like to explain a similar problem for certain families of varieties over semisimple groups and a solution to that problem using spectral theory of automorphic forms. This is joint work with Daniel Loughran and Ramin Takloo-Bighash.