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The characteristic factors in dynamical systems

  • Speaker:Prof. Ye Xiangdong, University of Science and Technology of China
  • TIME:周四21:00-22:00,2020-06-30
  • LOCATION:online

Beijing-Saint Petersburg Mathematics Colloquium (online)

Abstract

    It is an ideal situation if we can reduce a problem P stated for general ergodic or minimal systems to the same problem in their "simple factors". We will explain how one did so for the problem on the convergence of multiple ergodic averages in ergodic theory. Moreover, we will present a recent work by Glasner-Huang -Shao-Weiss-Ye on the similar problem in the topological setup.

   On the way to do so, we will address the parallels between topological dynamics and ergodic theory, and their applications to combinatoric number theory.

 

Bio

Prof. Ye got his Ph. D. in Mechanics and Mathematics Department of Moscow State University in 1991, and then did postdoc work in ICTP during 1991-1993. He was a faculty of Mathematics School in USTC since 1993. He was selected as a member of the Chinese Academy Sinica in 2019. His research interests include topological dynamics, ergodic theory and combinatoric number theory.
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