Title: Spectral decomposition and skew product for group actions

Speaker: Keonhee Lee (Chungnam National University)

Abstract: 

Spectral decomposition which is fundamental in the qualitative theory of dynamical systems delineates that the nonwandering set can be decomposed as a finite number of disjoint compact invariant  indecomposable sets.

In this talk we establish various types of spectral decomposition for group actions on compact metric spaces. In particular, we use a skew-product associated with a group action to derive the spectral decomposition of the nonwandering set in a given direction. This talk is based on reference [1].

[1] K.Lee, C. Morales and Y. Tang, Spectral decomposition and skew-product for group actions 

[2] K. Lee and N. Nguyen, Spectral decomposition and $\Omega$-stability of flows with expanding measures, J. Differential Equations, 269 (2020), 7574-7604.

참가 Zoom 회의 
https://us06web.zoom.us/j/83540915663?pwd=Eu4WYFDWUxun53COoBaQmYNjwa5LaS.1 

회의 ID: 835 4091 5663 
암호: set2024