Yeqin Liu : The Brauer-Manin obstruction

Posted by Zhehao Li , part of the Graduate Number Theory Seminar.

At

Oct. 19, 2022, 4 p.m.

In

427 SEO

Abstract

The Brauer-Manin obstruction is a refinement of the Hasse principle, which gives a sufficient condition for non-existence of rational points on an algebraic variety. In this talk I will introduce the Brauer group of an algebraic variety and explain the Brauer-Manin obstruction geometrically. Then we will see through an example that the Brauer-Manin obstruction is a strict refinement of the Hasse principle.

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