Explore a special lecture that delves into the unexpected intersection of quantum complexity and black hole physics. Discover how computational complexity, traditionally a mathematical and logical concept, has emerged as a geometric property of black holes, shedding new light on the nature of black hole interiors and horizons. Learn about the profound implications of this connection, including challenges to conventional understanding of black hole escape and the role of the horizon in preserving fundamental physical principles. Gain insights into the quantum extended Church Turing Thesis and its relationship to black hole physics as explained by renowned physicist Leonard Susskind from Stanford University.