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Explore advanced mathematical structures and computational algorithms in this comprehensive workshop featuring leading researchers presenting cutting-edge developments in tensor network theory and applications. Delve into alternative approaches for higher-dimensional quantum lattice models, non-abelian symmetries in tensor networks, and novel detection methods for dynamical quantum phase transitions. Learn about Gaussian tensor networks for disentangling interacting systems, Abelian lattice gauge theories in one dimension through matrix product states, and fast counting techniques using tensor network methodologies. Discover algebraic Bethe circuits, relativistic continuous matrix product states for attacking field theories, and continuous tensor networks for lattice models. Examine infinite projected entangled-pair states (iPEPS) applications for three-dimensional and layered quantum systems, finite temperature simulations of strongly correlated systems, and chiral spin liquid simulations using projected entangled-pair states. Investigate tensor-network-representable quantum states, accurate conformal field theory data extraction from infinite matrix product state simulations, and emergent hydrodynamics in one-dimensional Bose gases. Study mutual information and reflected entropies of random states, high-dimensional quantum many-body system algorithms, and the anatomy of two-dimensional classical lattice models through tensor network renormalization. Explore gauged Gaussian fermionic projected entangled-pair states for lattice gauge theory studies, defects and duality on lattices, and effective field theories for holographic random matchgate tensor networks. Understand Ogata's construction for symmetry-protected topological phase indices, thermalization approaches for quantum memories, and state-sum topological field theories with tensor evaluations. Learn about condensation and stability in topological order, matrix product operator algebras, and entanglement transitions in tree tensor networks. Discover new tensor network ideas for capturing entanglement in quantum many-body systems, quantum simulation of conformal field theories, and measurement incompatibility versus Bell non-locality through tensor norms. Examine thermodynamics of non-additive systems including the Thirring model, localization transitions in discrete non-linear Schrödinger equations, and current fluctuations in noninteracting run-and-tumble particles in one dimension.
