Spacetime and Quantum Mechanics Master Class Workshop

Explore advanced mathematical physics concepts in this comprehensive workshop covering the intersection of spacetime geometry and quantum mechanics through four distinct lecture series. Begin with Sebastian Mizera's four-part exploration of Riemann surfaces, critical points, and bilinear relations, progressing through intersection theory for twisted homologies, braids and moduli spaces in string theory, and culminating in scattering amplitudes as intersection numbers. Continue with Lauren Williams' introduction to cluster algebras and their relationship to surfaces, followed by Thomas Lam's examination of the topology and arithmetic of cluster varieties and total positivity theory. Conclude with Nima Arkani-Hamed's four-lecture series on the amplituhedron, the transition from causal diamonds to cluster polytopes, stringy canonical forms, and the development of non-perturbative geometry for scattering amplitudes, providing a deep dive into cutting-edge theoretical physics and mathematical structures underlying quantum field theory.