One of your most exciting regions in evaluation nowadays may be the quickly rising new subject of additive combinatorics. Creating on Gowers' use of the Freiman-Ruzsa structure theorem in harmonic analysis (specifically,
Office Professional 2007, in his proof of Szemeredi's theorem), Green and Tao famously proved that there are arbitrarily lengthy arithmetic progressions of primes,
Microsoft Office Ultimate 2007, and Bourgain has offered non-trivial estimates for hitherto untouchably short exponential sums. This new place entails harmonic analysis,
Office 2007 Professional, ergodic idea,
Microsoft Office 2007 Ultimate, discrete geometry, combinatorics, likelihood theory and amount idea, and this convention will include an eclectic mix of participants, between them almost all of the important thing gamers in the discipline who will present the new directions and developments, like J. Bourgain (IAS, Princeton), T. Gowers (Cambridge),
Office 2007 Ultimate Key, B. Green (Bristol), I. Ruzsa (Alfred Renyi Institute) and T. Tao. This workshop will immediately follow the CRM-Clay School on Additive Combinatorics.
Additive Combinatorics April six 12, 2006
Centre de recherches mathématiques
Organizers: Jozsef Solymosi (UBC)
and Andrew Granville (Montréal)