1 - 6, 2023, "Birational Algebraic Geometry Workshop", CQUT, Chongqing, China May 27 - 28, 2023, " 2023 Tongji Algebraic Geometry Workshop", Tongji U, Shanghai.May 17 - 23, 2023, visiting Wenfei Liu, Xiamen University, Xiamen, China.May 3 - 12, 2023, visiting Fei Hu, " 2023 Conference on Algebraic Geometry and Related Topics in Nanjing", Nanjing University, Nanjing, China.25 - May 3, 2023, visiting Zhiyu Tian, Peking University, Beijing, China 7 - 9, 2023, " Southwestern Workshop on Algebraic Geometry", SUSTech, Shenzhen, China 2 - 5, 2023, visiting Chuanhao Wei, Westlake University, Hangzhou, China YANG-MILLS THEORY: ITS PHYSICAL ORIGINS AND DIFFERENTIAL GEOMETRIC ASPECTS KÄHLER MANIFOLDS WITH VANISHING FIRST CHERN CLASSĬOMPACTIFICATION OF NEGATIVELY CURVED COMPLETE KAHLER MANIFOLDS OF FINITE VOLUME Jeff Cheeger, Mark Goresky and Robert MacPhersonįUNCTION THEORY OF NONCOMPACT KÄHLER MANIFOLDS OF NONPOSITIVE CURVATURE L 2-COHOMOLOGY AND INTERSECTION HOMOLOGY OF SINGULAR ALGEBRAIC VARIETIES RIGIDITY OF POSITIVELY CURVED MANIFOLDS WITH LARGE DIAMETERĬOMPLETE THREE DIMENSIONAL MANIFOLDS WITH POSITIVE RICCI CURVATURE AND SCALAR CURVATUREĮNTIRE SPACELIKE HYPERSURFACES OF CONSTANT MEAN CURVATURE IN MINKOWSKI SPACEĪPPLICATIONS OF THE MONGE-AMPERE OPERATORS TO THE DIRICHLET PROBLEM FOR QUASILINEAR ELLIPTIC EQUATIONS SUBHARMONIC FUNCTIONS, HARMONIC MAPPINGS AND ISOMETRIC IMMERSIONSĪN ISOPERIMETRIC INEQUALITY AND WIEDERSEHEN MANIFOLDSīEST CONSTANTS IN THE SOBOLEV IMBEDDING THEOREM THE Y AMABE PROBLEMĬONFORMAL METRICS WITH ZERO SCALAR CURVATURE AND A SYMMETRIZATION PROCESS VIA MAXIMUM PRINCIPLE LIOUVILLE THEOREMS FOR HARMONIC MAPPINGS, AND AN APPROACH TO BERNSTEIN THEOREMS POINCARÉ INEQUALITIES ON RIEMANNIAN MANIFOLDSīONNESEN-TYPE INEQUALITIES IN ALGEBRAIC GEOMETRY, I: INTRODUCTION TO THE PROBLEM SURVEY ON PARTIAL DIFFERENTIAL EQUATIONS IN 3 DIFFERENTIAL GEOMETRY ![]() A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information. ![]() ![]() The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. Both survey articles and articles presenting new results are included. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980 the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. ![]() This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics.
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