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9-6吴文俊数学重点实验室 Dynamical Systems Seminar【Jakub Konieczny】
报告题目:  Automatic sequences, generalised polynomials, and nilmanifolds

报告人:Jakub Konieczny (Mathematical Institute, University of Oxford)

时间:9月6日(周三)下午16:00--17:00

地点:管理科研楼1518教室

摘要:Generalised polynomials are expressions formed from ordinary polynomials using the integer part operation, addition and multiplication. Their distribution has been extensively studied, and thanks to the work of Bergelson and Leibman is known to be intimately connected to dynamics on nilmanifolds. Automatic sequences are those whose n-th term can be computed by a finite machine given the digits of n on input. The starting point for the project whose results I will discuss is the following simple-looking question: Are there any non-trivial examples of automatic sequences given by generalised polynomial formulas? I will present a partial solution to this, as well as examples of sequences which somewhat surprisingly turn out to be generalised polynomials. 

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  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会