Explore the intricacies of semisimple Lie groups, their structure theory, discrete subgroups, and asymptotic behavior in this comprehensive lecture by Jean-François Quint from CNRS & University of Bordeaux. Delve into key concepts such as properties of subgroups, algebraic subgroups, and limit sets. Examine specific examples and learn about cartonic composition. Investigate the bad case scenario and high power space. Gain insights into short key groups and their significance in the field. This 59-minute presentation, hosted by the Institut des Hautes Etudes Scientifiques (IHES), offers a thorough introduction to geometry and dynamics on semisimple Lie groups, providing a solid foundation for further study in this advanced mathematical domain.