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NCTS Number Theory Seminar
 
15:00 - 16:00, March 22, 2017 (Wednesday)
Lecture Room B, 4th Floor, The 3rd General Building, NTHU
(清華大學綜合三館四樓 B演講室)
An Infinite Family of Counterexamples to the Hasse Principle for Shimura Curves
Keisuke Arai (Tokyo Denki University)

In this talk, we give criteria of the non-existence of rational points on Shimura curves. From these criteria, we can produce an infinite family of counterexamples to the Hasse principle for Shimura curves, which are accounted for by the Manin obstruction.



 

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