The students will study the material independently, assisted by regular meetings. There will be a few assignments to complete. In the last week of January, students will give talks presenting some segment of the material. Successful evaluation of the project will be based on completion of the assignments and presentations.
Topic  Reading Material  Assignment 
1. Models of Set Theory



2. Reflection and Collapse


Assignment 1
Submit your assignment here. 
Extra: The Constructible Universe L



3. Martin's Axiom MA
Remark: the axiom may seem arbitrary, but it is introduced here as a way of getting used to the combinatorics of forcing 
 
4. Introduction to forcing


Assignment 2
Submit your assignment here. 
5. The technicalities of forcing

 
6. The ZFC Axioms


Assignment 3
Submit your assignment here. 
7. Forcing ¬CH.


Assignment 4
Submit your assignment here. 
Date  What  Notes  
1.  Wednesday 23 December, 5 pm  Introductory meeting 1 Yurii Khomskii: introduction to consistency proofs, relativisation and reflection principles  Notes from presentation 1 
2.  Tuesday 5 January, 11 am  Meeting 2 Discussion/questions and lecture about L  Notes from presentation 2 
3.  Tuesday 5 January, 11 am  Meeting 3 Discussion/questions  Notes from discussion 
4.  Tuesday 19 January, 11 am  Meeting 4 Discussion/questions  Notes from discussion 
5.  Tuesday 26 January, 5 pm  Meeting 5 Discussion/questions  Notes from discussion 
Date  Who  What  Notes 
Wednesday 27 January, 11 am  Rodrigo Almeida & Anton Chernev  Martin's Axiom  Slides 
Wednesday 27 January, 1 pm  Lamia Tawam  Introduction to forcing  
Thursday January, 11 am  Søren Brinck Knudstorp & Gian Marco Osso  The forcing relation and the Forcing Theorem  Slides 
Thursday 28 January, 3 pm  Quentin Gougeon  The ZFC axioms in M[G]  Slides 
Friday 29 January, 11 am  Tibo Rushbrooke & Wouter Smit  Details on Reflection Theorems  Slides 
Friday 29 January, 1 pm  Lide Madoe Grotenhuis & Daniel Otten  Forcing nonCH  Slides 
Friday 29 January, 3 pm  Steef Hegeman  The ccc and preservation of cardinals  Slides 