20061219Liu WenXin

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



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 section 5.
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.