Xu Fei: Strong approximation with Brauer-Manin obstruction for toric varieties.



Abstract: Toric varieties have been extensively studied over algebraic closed fields. In this talk, we will explain some structure results for toric varieties over a field of characteristic zero. As an application, one can prove strong approximation with Brauer-Manin obstruction for toric varieties over number fields. Some examples will be provided as well. This is a joint work with Yang Cao.