Joint Number Theory Seminars at Beijing

Tuesday, December 12, 2006

ErgodicPNT Seminar:素数包含任意长的算术级数(I):Gowers范数和von Neumann定理

素数包含任意长的算术级数(I):Gowers范数和von Neumann定理
刘文新(北京师范大学)
时间:2006年12月19日,上午9:30-11:30
地点: 中科院数学院大楼509室

参考文献:B. Green and T. Tao The primes contain arbitrarily long arithmetic progressions the section5.

First talk: 2006-12-19 9:30am-11:30am
We will introduce the Gowers uniformity norms and its properties, and then prove the generalized von Neumann theorem when k=3.

Second talk:Jan-2-2007 2:00pm-4:00pm
We will give the proof of the generalized von Neumann theorem in general case, by using Cauchy-Schwartz inequality and the linear forms condition of the k-pseudorandom measure.