Recent Trends in Additive Combinatorics
September 9 to September 12, 2004
American Institute of Mathematics,
Palo Alto, California
Terry Tao and Van Vu
This workshop will focus on four
There have been a number of recent breakthroughs in each
of these fields involving new techniques, and goal of the workshop
is to popularize these new techniques to people working in the
- Long arithmetic progressions and the Szemeredi regularity lemma
- The Erdos-Szemeredi sum-product conjecture, the Erdos
distance set problem, and Szemeredi-Trotter type problems
in various dimensions and fields.
- Freiman's inverse theorem and sum-sets
- The Kakeya conjecture in finite fields, and related problems
from harmonic analysis.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.