Graduate Number Theory Seminar
Yeqin Liu
UIC
The Brauer-Manin obstruction
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.
Also on zoom: https://uic.zoom.us/j/89174050848?pwd=Qjg2TFpxQktKcnVIOWtzN2tmZ3Rydz09
Wednesday October 19, 2022 at 4:00 PM in 427 SEO