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Explore the fascinating world of hyperbolicity in this engaging lecture by Professor Indira Chatterji from Université Côte d'Azur à Nice, France. Delve into the concept of negative curvature, where triangles have a sum of angles less than 180 degrees, challenging our conventional understanding of geometry. Discover how hyperbolicity manifests in various aspects of our environment, from underwater landscapes to clothing and even within the human brain. Learn from an expert in geometric group theory as she shares insights gained from her extensive academic career spanning institutions in Switzerland, the United States, and France.