String-Math 2015

Description:

This volume contains the proceedings of the conference String-Math 2015, which was held from December 31, 2015-January 4, 2016, at Tsinghua Sanya International Mathematics Forum in Sanya, China. Two of the main themes of this volume are frontier research on Calabi-Yau manifolds and mirror symmetry and the development of non-perturbative methods in supersymmetric gauge theories. The articles present state-of-the-art developments in these topics. String theory is a broad subject, which has profound connections with broad branches of modern mathematics. In the last decades, the prosperous interaction built upon the joint efforts from both mathematicians and physicists has given rise to marvelous deep results in supersymmetric gauge theory, topological string, M-theory and duality on the physics side, as well as in algebraic geometry, differential geometry, algebraic topology, representation theory and number theory on the mathematics side.

subjects: Geometry, algebraic,  Quantum theory,  Algebraic Geometry,  Congresses,  Mathematics,  Algebraic geometry -- Projective and enumerative geometry -- Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants,  Geometry -- Geometry and physics (should also be assigned at least one other classification number from Sections 70--86) -- Geometry and physics (should also be assigned at least one other classification number from Sections 70--86),  Differential geometry -- Symplectic geometry, contact geometry -- Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category,  Differential geometry -- Symplectic geometry, contact geometry -- Gromov-Witten invariants, quantum cohomology, Frobenius manifolds,  Differential geometry -- Applications to physics -- Applications to physics,  Quantum theory -- Quantum field theory; related classical field theories -- Quantum field theory on curved space backgrounds,  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 -- Supersymmetric field theories,  Projective and enumerative geometry,  Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants,  Geometry,  Geometry and physics (should also be assigned at least one other classification number from Sections 70,  86),  Differential geometry,  Symplectic geometry, contact geometry,  Mirror symmetry, symplectic aspects; homological mirror symmetry; Fukaya category,  Gromov-Witten invariants, quantum cohomology, Frobenius manifolds,  Applications to physics,  Quantum field theory; related classical field theories,  Quantum field theory on curved space backgrounds,  String and superstring theories; other extended objects (e.g., branes),  Supersymmetric field theories