Brauer-Manin Obstruction Study Group

I am using this page to collect the materials for the 2022 study group on Brauer-Manin Obstructions, co-organised by David Angdinata, Mohammed Alaa Tawfik, and me. 

• Original proposal/plan for the study group

• My notes, which I am trying to update every week

Talks:

• Talk 1: Introduction, Mohamed Alaa Tawfik, Notes 

• Talk 2: The Brauer Group of a Field, Lee Berry

• Talk 3: The Brauer Group of a Scheme, Sebastian Monnet

• Talk 4 : Examples of Brauer Groups, David Angdinata, Notes 

• Talk 5: Examples of Purity, Abdulmuhsin Alfaraj, Notes 

• Talk 6: The Brauer-Manin Set, Tudor Ciurca

References:

• 'The Brauer-Grothendieck Group'. Book by Colliot-Thelène and Skorobogatov

• 'Rational Points on Surfaces'.  Notes by Bianca Viray from the Arizona Winter School 2015