Algebraic GeometryAlgebraic geometry -- Curves -- Vector bundles on curves and their moduliAlgebraic geometry -- Families, fibrations -- Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)Algebraic geometry -- Families, fibrations -- Geometric Langlands program: algebro-geometric aspectsAlgebraic geometry -- Surfaces and higher-dimensional varieties -- Mirror symmetryApplications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)CongressesCurvesFamilies, fibrationsGeometric Langlands program: algebro-geometric aspectsGeometry, algebraicGlobal analysis, analysis on manifoldsGlobal analysis, analysis on manifolds -- Variational problems in infinite-dimensional spaces -- Harmonic mapsHarmonic mapsMathematicsMirror symmetryQuantum field theory; related classical field theoriesQuantum theoryQuantum 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 theoriesString and superstring theories; other extended objects (e.g., branes)Supersymmetric field theoriesSurfaces and higher-dimensional varietiesVariational problems in infinite-dimensional spacesVector bundles on curves and their moduli