Lecture 11/2/09 — Balog-Szemeredi-Gowers, 4-term progressions and U3 norm, general U-norm properties

• Petar's notes

Lecture 10/26/09 — Existence of highly 3-edge-connected subsets of dense bipartite graphs

• Petar's notes

Lecture 10/23/09 — Chang's covering lemma, proof of Freiman-Rusza theorem, additive energy, Balog-Szemeredi-Gowers (easy direction)

• Petar's notes
• Discussion on the rough classification problem of approximate groups
• Polynomial Freiman-Rusza conjecture

Lecture 10/21/09 — Minkowski 2nd Theorem (part 2), Bohr sets contain proper GAPs

• Petar's notes

Lecture 10/7/09 — Rusza model lemma, Bogolyubov lemma, structure of Bohr sets, Minkowski 2nd theorem (part 1)

• Petar's notes

Lecture 10/5/09 — (Structure of) Approximate groups and the Freiman-Rusza Theorem (for Z), Freimam morphisms, Rusza's model lemma

• Petar's notes

Lecture 10/2/09 — Rusza's Third Inequality, (Structure of) Approximate groups and Rusza's Theorem (for F_2^\infty)

• Petar's notes
• Ben Green's favorite open problem inside