### Introduction to the classical Multiplicative Ergodic Theorem

- Series
- Dynamical Systems Working Seminar
- Time
- Tuesday, July 21, 2020 - 12:00 for 1 hour (actually 50 minutes)
- Location
- Bluejeans: https://primetime.bluejeans.com/a2m/live-event/fsvsfsua
- Speaker
- Yuqing Lin – UT Austin – ylin@math.utexas.edu

**Please Note:** This is an expository talk, to be paired with the CDSNS Colloquium held the next day.

This is a gentle introduction to the classical Oseledets' Multiplicative Ergodic Theorem (MET), which can be viewed as either a dynamical version of the Jordan normal form of a matrix, or a matrix version of the pointwise ergodic theorem (which itself can be viewed as a generalization of the strong law of large numbers). We will also sketch Raghunathan's proof of the MET and discuss how the MET can be applied to smooth ergodic theory.