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Attend this intensive summer school focused on recent breakthroughs in the study of discrete subgroups of Lie groups, covering dynamics, actions, and rigidity theory. Participate in nine comprehensive mini-courses delivered by leading experts in the field, each consisting of 3-5 hours of lectures covering cutting-edge developments in this rapidly evolving area of mathematics. Explore higher property T through Roman Sauer's five-part series, delve into thermodynamical formalism and geometric applications with Barbara Schapira, and discover higher rank Teichmüller theory through Maria Beatrice Pozzetti's four-part course. Investigate measure rigidity in higher rank lattice actions with Homin Lee, examine the geometry of diverging orbits through Nattalie Tamam's presentations, and study locally homogeneous flows and Anosov representations in Daniel Monclair's extensive series. Learn about Poisson-Voronoi tessellations and fixed price theory in higher rank settings through Sam Mellick and Amanda Wilkens' collaborative course, understand the geometry of Anosov flows and rigidity with Simion Filip, and explore harmonic maps in high-dimensional spheres, representations, and random matrices through Antoine Song's four-part series. Engage with fellow young researchers in evening problem sessions designed to foster collaboration and deepen understanding of the material, while building connections that will advance future research in discrete subgroups of Lie groups.
