An Introduction to Geometry and Dynamics on Semisimple Lie Groups - Lecture 3

Explore the intricacies of semisimple Lie groups, their structure theory, discrete subgroups, and asymptotic behavior in this comprehensive lecture. Delve into key concepts such as exponential norms, directional exponential behavior, and the Gross indicator. Examine the Marguly Strategy, learn about building measures, and understand the chain rule in this context. Investigate vectorvalued cycles and the hub decomposition as Jean-François Quint from CNRS & University of Bordeaux guides you through this advanced mathematical journey. Gain insights into the counting techniques and structural results that form the foundation of this fascinating area of geometry and dynamics.

Introduction
Exponential Norms
Directional exponential behavior
Gross indicator
Counting
Marguly Strategy
Building a Measure
Chain rule
Vectorvalued cycle
Hub decomposition