Arithmetic Combinatorics Seminar: Summer 2006
Meetings: Wednesdays at 3-4pm in RLM 12.166
Topic: The BKT result on sum-product estimates in finite fields
Outline:
- Week 0, 6/7: Course overview
- Week 1, 6/28: Bounds on |A+B|
- Week 2, 7/5: Linear surjections onto Z/pZ
- Week 3, 7/19: Sumset estimates
- Week 4, 7/26: Finish proof of BKT
- Week 5, 8/2: Consequences of "approximate subrings"
- Week 6, 8/9: Konyagin's Extension of BKT (presented by Vlado)
- Week 7, 8/23: Gowers' Norm and Polynomials (presented by Anindya)
The full set of notes is available here, and the
appendix is here. For slides from a
talk I gave in spring 2006 on Helfgott's application of BKT to show
that the diameter of SL_2(p) is small, click
here.
Resources:
Notes from a course taught by Terry Tao at UCLA in 2003