Additive Combinatorics - Fall 2005

Fridays 2-3.30pm in 2.135, starting September 30th. As I noted in the lectures, there is *tea* at 3.30 in the common room, which is room 2.290. Discussions on additive combinatorics, or anything else of interest, would be welcome there.

Course description.

• 30/9/05 Lecture 1: Plunnecke-Ruzsa inequalities.
• 7/10/05 Lecture 2: Discrete Fourier. Bogolyubov. Chang's Theorem
• 14/10/05 Lecture 3: Chang-Bogolyubov. Minkowski's second theorem. Progressions in Bohr sets
• 21/10/05 Lecture 4: Proof of Freiman's Theorem, sketch of refinements
• 28/10/05 No lecture (I'm away in Bristol)
• 4/11/05 Lecture 5: We started working on Bourgain-Katz-Tao/Bourgain-Konyagin. Here are some notes.
• 11/11/05 No lecture (Veterans' Day)
• 18/11/05 Lecture 6: Conclusion of the proof of BKT/BK.
• 25/11/05 Yet another day off. I thought Americans liked hard work??
• 2/12/05 Lecture 7: Gowers' proof of Szemeredi's theorem for 4-term APs,I
• 9/12/05 Lecture 8: Gowers' proof of Szemeredi's theorem for 4-term APs, II

Informal Additive Combinatorics Seminar - Spring 2006

Fridays 2-3.30pm in 2.377, followed by an adjournment for TEA in the common room at 3.30.

• Fri 3/2/06 On Bourgain's solution of the Lambda(p) problem, I (Swastik Kopparty)
• Fri 10/2/06 No event
• Fri 17/2/06 On Bourgain's solution of the Lambda(p) problem, II (Swastik Kopparty)
• Fri 24/2/06 Long arithmetic progressions of primes study group, introduction and overview (Ben Green); On Bourgain's solution of the Lambda(p) problem, III (Swastik Kopparty)
• Fri 3/3/06 No event (I'm in England)
• Fri 10/3/06 No event (I'm in the Mid-West)
• Fri 17/3/06 Ramsey theory on the integers, rationals and reals (Jacob Fox)
• Fri 24/3/06 Long arithmetic progressions of primes study group, I: Gowers norms and generalised von Neumann theorems (Tom Sanders)
• Fri 31/3/06 No event (Clay institute school on additive combinatorics, Montreal)
• Fri 7/4/06 No event (Montreal workshop)
• Fri 14/4/06 No event
• Fri 21/4/06 Long arithmetic progressions of primes study group, II: The Koopman von Neumann theorem, and conclusion of the proof (Ben Green)
• Fri 28/4/06 Long arithmetic progressions of primes study group, III: Constructing a pseudorandom measure for the primes (Julia Wolf)
• Fri 5/5/06 An introduction to quantum unique ergodicity (Simon Brooks)
• Fri 12/5/06 Open problems session