
Dynamical Systems Seminar

主講者:

Prof. Wen Huang (University of Science and Technology of China)

講題:

Higher order Bohr problem, generalized polynomials and Nilsystem

時間:

20140521
(Wed.) 15:00  16:30

地點:

數學所 722 研討室 (台大院區)

Abstract:
 In this talk we will discuss higher order Bohr_0 sets and related questions. An old problem about Bohr sets says that for any syndetic set S, is the set SS a Bohr_0 set? We study the higher order version of this problem: for any d does the common difference of arithmetic progression with length d+1 appeared in a syndetic set coincide with a Nil_d Bohr_0 set? We show that one side of this question holds: for any Nil_d Bohr_0set A, there exists a syndetic set S such that A contains the common difference of arithmetic progression with length d+1 appeared in S. And we show that other side of the problem can be deduced from some result by BergelsonHostKra if modulo a set with zero density.

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