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.