[PAST EVENT] Mathematics Colloquium: Wenbo Sun (Ohio State University)
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Mathematics Colloquium: Wenbo Sun (Ohio State University)
Title: Structure theorems in dynamical systems
Abstract: In order to understand a complicated object in mathematics or in the real world, a straightforward but very useful approach is to separate the noise from the essence. This naturally leads to the following question: given a function f, is it possible to decompose it as f=f1+f2, where f1 is a function having an easy-to-explain structure, and f2 behaves like a random function?
The establishment of the Structure Theorems provided theoretically supports for this simple philosophy. Nowadays, Structure Theorems have been established in various areas in mathematics, including combinatorics, number theory and dynamical systems, each of which proves to have many important applications.
In this talk, I will introduce the development of the Structure Theorems in the areas mentioned above, with an emphasize on their applications in dynamical systems. This talk is based on joint works with Sebastian Donoso.