School Colloquium——Local-global principle in number theory
                    
                  
                  
                  
                    报告人:Xinyi Yuan(University of California, Berkeley)
 
                    时间:2018-11-23  15:00-16:00
  
                    地点:Room 1114, Sciences Building No. 1
                   
                  
                    Abstract: In this lecture, we will review the classical Hasse principle for quadratic forms, talk about 
the failure of the principle for general Diophantine equations, and introduce the concept of 
Tate-Shafarevich groups. We will also mention its relation with the Birch and Swinnerton-Dyer conjecture.