Explore the third lecture in a series on Property(T), median spaces, and CAT(0) cubical complexes, delivered by Indira Chatterji from Université Côte d'Azur à Nice. Delve into advanced topics in geometric group theory as part of the "Geometry in Groups" program organized by the International Centre for Theoretical Sciences. Gain insights into this rapidly evolving field, which connects various areas of mathematics including geometry, topology, dynamics, analysis, and probability. Participate in this comprehensive minicourse, designed to increase exposure to active areas in geometric group theory and strengthen research networks among mathematicians in India. Benefit from the expertise of eminent researchers known for their exceptional exposition skills, and prepare for the subsequent "research in groups" format led by minicourse speakers.