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Attend a comprehensive two-week workshop exploring the intersection of quantum field theory, topological phases, homotopy theory, and operator algebras through a unique twinned format between Harvard CMSA and the Max Planck Institute for Mathematics in Bonn. Participate in pedagogical lecture series during the first week featuring renowned experts Michael Hopkins (Harvard), Alexei Kitaev (Caltech), Pieter Naaijkens (Cardiff), and Bruno Nachtergaele (UC Davis), covering topics from lattice models and topological quantum field theories to quantum entanglement in many-body systems and superselection sector theory. Engage with cutting-edge research presentations in the second week addressing mathematical puzzles from entanglement bootstrap, classification of extended conformal field theories, invertible phases, non-invertible symmetries, holography for topological order, defects in quantum phases, and categorical approaches to topological quantum field theories. Experience simultaneous lectures broadcast between both locations with opportunities for cross-continental dialogue, covering advanced topics including C*-categorical prefactorization algebras, frustration-free models, fracton orders, Kapustin-Kitaev cobordism conjecture, and quantizing homotopy types. Explore the mathematical foundations connecting quantum many-body physics with algebraic topology through presentations on reflection positivity, chiral symmetries on lattices, Berry curvature in coarse geometry, and moduli spaces of projective TQFTs.
