200701Liang Zhibing

Title: Relative Szemer\'edi theorem for Pseudorandom measures.
Speaker: Liang Zhibin, Peking University.
Time:       Four talks，  Jan 16 and Jan 30, 2007 9:30am-11:30am and 2:00pm-4:00pm

Room: Insititue of Math 509 and 703

Abstracts: My talks is based on section 6-8 of Green-Tao's paper. I will introduce the proof of Szemer\'edi theorem relative to a pseudoramdon measure. It will take about three speeches for me to complete all the proof. In the first speech I will give the definition of the dual norm of Gowers norm and the Gowers anti-uniform functions. In the second speech I will introduce the $\sigma$-algebra and generalised Koopman-von Neumann structure theorem. In the last time I will complete the left of the proof of Szemer\'edi theorem relative to a pseudoramdon measure, using Furstenberg tower.

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