tag:blogger.com,1999:blog-63258656277003926652011-07-08T04:37:23.243-07:00Ben Green IncognitoPetar Maymounkovnoreply@blogger.comBlogger171100tag:blogger.com,1999:blog-6325865627700392665.post-54816725436520713602009-12-08T14:30:00.000-08:002009-12-08T14:30:30.514-08:00Lecture 11/23/09 — Bourgain-Glibichuk-Koryagin (part 2), additive/multiplicative Balog-Szemeredi-Gowers theorem, Bourgain-Katz-Tao theorem<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-11-23-09.pdf">Petar's notes</a></li><li>Last lecture for Fall 2009</li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-5481672543652071360?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com33tag:blogger.com,1999:blog-6325865627700392665.post-72742273935671208532009-11-20T12:13:00.000-08:002009-11-20T12:13:08.477-08:00Lecture 11/20/09 — Sum-product estimates, Bourgain-Glibichuk-Koryagin theorem (part 1)<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-11-20-09.pdf">Petar's notes</a></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-7274227393567120853?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-63470839446118602602009-11-20T12:11:00.000-08:002009-11-20T12:11:35.575-08:00Lecture 11/16/09 — Diophantine approximation (cont'd), Conclusion of Szemeredi for 4-term progressions<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-11-16-09.pdf">Petar's notes</a></li><li>At end of lecture, list of possible topics for next semester</li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-6347083944611860260?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-56356318185938137932009-11-20T12:09:00.000-08:002009-11-20T12:09:16.834-08:00Lecture 11/13/09 — Local inverse theorem for U3, Diophantine approximation, Weyl's inequality<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-11-13-09.pdf">Petar's notes</a></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-5635631818593813793?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-2508466475359200082009-11-19T12:23:00.000-08:002009-11-20T12:24:26.734-08:00Lecture 11/9/09 — U3 weak inverse (continued), U3 local inverse theorem,<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-11-9-09.pdf">Petar's notes</a></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-250846647535920008?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-40592011448095300962009-11-19T12:21:00.000-08:002009-11-20T12:24:43.836-08:00Lecture 11/6/09 — Gowers 4-term progression theorem, Generalized von Neumann for U3, weak inverse theorem for U3<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-11-6-09.pdf">Petar's notes</a></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-4059201144809530096?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-61553918165118968222009-11-19T12:17:00.000-08:002009-11-20T12:24:56.310-08:00Lecture 11/2/09 — Balog-Szemeredi-Gowers, 4-term progressions and U3 norm, general U-norm properties<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-11-2-09.pdf">Petar's notes</a></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-6155391816511896822?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-4949930602551590672009-10-27T14:03:00.000-07:002009-10-27T14:03:24.398-07:00Lecture 10/26/09 — Existence of highly 3-edge-connected subsets of dense bipartite graphs<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-10-26.pdf">Petar's notes</a></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-494993060255159067?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-30630971137675982852009-10-27T13:59:00.000-07:002009-10-27T13:59:25.761-07:00Lecture 10/23/09 — Chang's covering lemma, proof of Freiman-Rusza theorem, additive energy, Balog-Szemeredi-Gowers (easy direction)<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-10-23.pdf">Petar's notes</a></li><li>Discussion on the rough classification problem of approximate groups</li><li>Polynomial Freiman-Rusza conjecture</li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-3063097113767598285?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-18120564295664321122009-10-27T13:55:00.000-07:002009-10-27T13:55:25.246-07:00Lecture 10/21/09 — Minkowski 2nd Theorem (part 2), Bohr sets contain proper GAPs<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-10-21.pdf">Petar's notes</a></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-1812056429566432112?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-19263741493564811762009-10-20T14:47:00.000-07:002009-10-20T14:47:54.095-07:00Lecture 10/7/09 — Rusza model lemma, Bogolyubov lemma, structure of Bohr sets, Minkowski 2nd theorem (part 1)<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-10-7.pdf">Petar's notes</a></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-1926374149356481176?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-61253423142440571292009-10-07T10:41:00.000-07:002009-10-07T10:41:03.955-07:00Lecture 10/5/09 — (Structure of) Approximate groups and the Freiman-Rusza Theorem (for Z), Freimam morphisms, Rusza's model lemma<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-10-5.pdf">Petar's notes</a></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-6125342314244057129?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-82360756818423677392009-10-07T10:38:00.000-07:002009-10-07T10:42:05.589-07:00Lecture 10/2/09 — Rusza's Third Inequality, (Structure of) Approximate groups and Rusza's Theorem (for F_2^\infty)<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-10-2.pdf">Petar's notes</a></li><li>Ben Green's favorite open problem inside</li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-8236075681842367739?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-88341899814485955672009-09-28T09:59:00.000-07:002009-09-28T13:13:49.143-07:00Lecture 9/28/09 — Rusza calculus<ul><li><a href="http://pdos.csail.mit.edu/~petar/manuscripted/bengreen-9-28-09.pdf">Petar's notes</a><br /></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-8834189981448595567?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-51119837696181406792009-09-28T09:37:00.001-07:002009-09-28T09:58:34.230-07:00Lecture 9/25/09 — Inverse theorem for Gowers 2-norm, Dirichlet's Pigeons, end of Roth, Behrerd's example<ul><li><a href="http://pdos.csail.mit.edu/%7Epetar/manuscripted/bengreen-9-25-09.pdf">Petar's notes</a><br /></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-5111983769618140679?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-39704854435942892902009-09-28T09:36:00.001-07:002009-09-28T09:56:48.422-07:00Lecture 9/21/09 — Progression-or-density theorem, Gowers 2-norm, Fourier on groups<ul><li><a href="http://pdos.csail.mit.edu/%7Epetar/manuscripted/bengreen-9-21-09.pdf">Petar's notes</a><br /></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-3970485443594289290?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0tag:blogger.com,1999:blog-6325865627700392665.post-15151636420554482932009-09-28T09:35:00.000-07:002009-09-28T09:58:00.643-07:00Lecture 9/18/09 — Overview, beginning of Roth<ul><li><a href="http://pdos.csail.mit.edu/%7Epetar/manuscripted/bengreen-9-18-09.pdf">Petar's notes</a><br /></li></ul><div class="blogger-post-footer"><img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/6325865627700392665-1515163642055448293?l=bengreenincognito.blogspot.com' alt='' /></div>Petar Maymounkovnoreply@blogger.com0