Explore advanced concepts in noncommutative geometry through a comprehensive graduate-level lecture on the tangent groupoid. Delve into intricate mathematical theories and applications as presented by guest lecturer Dan Hudson from the University of Toronto. Gain valuable insights into this specialized field of study, expanding your understanding of complex geometric structures and their implications in modern mathematics. Engage with cutting-edge research and theoretical frameworks during this 84-minute session, designed to challenge and inspire graduate students and researchers in the field of noncommutative geometry.