| Thursday 25 April 2024 | |
| Events for day: Tuesday 28 September 2021 |
| 18:30 - 21:00 Number Theory Webinar The Distribution of Rational Points on Some Spherical Varieties. School MATHEMATICS In this talk I will discuss a work in progress in which, together with Sho Tanimoto and Yuri Tschinkel, we study the distribution of rational points on some anisotropic spherical varieties of rank 1 over an arbitrary number field. Our work is the non-split analogue of the results of Valentin Blomer, Jorg Brudern, Ulrich Derenthal, and Giuliano Gagliardi where they consider split spherical varieties of rank 1 over the rational numbers, though our methods are completely different. In our proof we use the theory of automorphic forms, especially Waldspurger's celebrated theorem on toric periods, to analyse the height zeta function. Once this ana ... |