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Explore the fascinating interplay between physics and mathematics through this public lecture on topological quantum field theory delivered by Professor Ilka Brunner from Ludwig-Maximilians-Universität München at the Isaac Newton Institute for Mathematical Sciences. Discover how concepts from quantum field theory have revolutionized mathematical understanding while mathematical insights have, in turn, transformed physical theories. Learn about the fundamental principles of topological quantum field theory and understand how this field serves as a bridge between abstract mathematical structures and concrete physical phenomena. Examine the bidirectional flow of ideas between these disciplines and gain insight into how topological invariants and quantum field theoretical methods have created new mathematical tools and physical understanding. This Kirk Public Lecture, part of the "Quantum field theory with boundaries, impurities, and defects" program, provides an accessible introduction to one of the most profound connections between modern mathematics and theoretical physics.
