Explore the intricate world of quantum physics in this hour-long lecture by J. Frohlich from ETH Zurich. Delve into the geometric and analytic aspects of the Quantum Hall effect, examining the interplay between chiral anomalies, topological field theory, and topological states of matter. Gain insights into cutting-edge concepts that bridge theoretical physics and materials science, enhancing your understanding of quantum phenomena and their implications for modern physics research.