报告题目：Linear algebraic groups and local-global principle for integral points
摘要: One basic philosophy in Diophantine Geometry is local-global principle (Hasse principle) for rational points and integral points. In this talk, I will focus on how to use linear algebraic group to study the local-global principle for integral points and talk about:
(1) the descent obstruction and iterated descente obstruction;
(2) invariant Brauer subgroup and strong approximation of homogeneous spaces;
(3) arithmetic purity of strong approximation for homogeneous spaces.