Yao Jiayan200611

### An ergodic proof of Szemeredi's theorem

姚家燕（清华大学）

Talk1-A,B: An ergodic proof of Szemeredi's theorem

A: Nov.21, 2006, 9:30-11:30am，B: Nov.28 2006, 9:30-11:30am，

Abstract: In this talk we shall give a short introduction to Szemeredi's theorem and related results in combinatorial number theory and in ergodic theory, and then show Szemeredi's theorem, by using the multiple Poincare recurrence theorem in ergodic theory.

Lecture Note by Yao Jiayan YaoJY200611-1.pdf

Talk2: Birkhoff ergodic theorem and its applications

Place: 中关村东路89号 恒兴大厦 21B（数学所东门往南直走100米）

Dec. 05 2006, 9:30-11:30am，

Abstract: In this talk we shall give a proof of Birkhoff pointwise ergodic theorem, and then present some applications.

Abstract: In this talk we shall give a proof of Birkhoff pointwise ergodic theorem, and then present some applications.

Lecture Note by Yao Jiayan YaoJY2006-12-5.pdf

Talk3: Multiple Poincare recurrence theorem and its proof

Place: 中科院数学院大楼509室

Dec. 12 2006, 9:30-11:30am，

Abstract: In this talk we shall apply the results presented in the last talk to prove the multiple Poincare recurrence theorem.

Abstract: In this talk we shall apply the results presented in the last talk to prove the multiple Poincare recurrence theorem.