Title: Mathematical foundations of quantum field theory and perturbative string theory
Subjects: Mathematics, Congresses, Topological fields, String models, Quantum field theory, Quantum theory, Algebraic topology, Quantum theory -- Quantum field theory; related classical field theories -- Topological field theories, Quantum theory -- Quantum field theory; related classical field theories -- Two-dimensional field theories, conformal field theories, etc.., Quantum theory -- Quantum field theory; related classical field theories -- String and superstring theories; other extended objects (e.g., branes), Quantum theory -- Quantum field theory; related classical field theories -- Axiomatic quantum field theory; operator algebras, Quantum theory -- Quantum field theory; related classical field theories -- Supersymmetric field theories, Mechanics of particles and systems -- Classical field theories -- Lagrangian formalism and Hamiltonian formalism, Category theory; homological algebra -- Categories with structure -- Double categories, $2$-categories, bicategories and generalizations, Category theory; homological algebra -- Categories with structure -- Operads, Algebraic topology -- Homology and cohomology theories -- Elliptic cohomology, Quantum theory -- Quantum field theory; related classical field theories -- Two-dimensional field theories, conformal field theories