Lecture 11/23/09 — Bourgain-Glibichuk-Koryagin (part 2), additive/multiplicative Balog-Szemeredi-Gowers theorem, Bourgain-Katz-Tao theorem

• Petar's notes
• Last lecture for Fall 2009

Lecture 11/20/09 — Sum-product estimates, Bourgain-Glibichuk-Koryagin theorem (part 1)

• Petar's notes

Lecture 11/16/09 — Diophantine approximation (cont'd), Conclusion of Szemeredi for 4-term progressions

• Petar's notes
• At end of lecture, list of possible topics for next semester

Lecture 11/13/09 — Local inverse theorem for U3, Diophantine approximation, Weyl's inequality

• Petar's notes

Lecture 11/9/09 — U3 weak inverse (continued), U3 local inverse theorem,

• Petar's notes

Lecture 11/6/09 — Gowers 4-term progression theorem, Generalized von Neumann for U3, weak inverse theorem for U3

• Petar's notes

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

• Petar's notes