By David Hoffman
In the summertime of 2001, the Mathematical Sciences study Institute (MSRI) hosted the Clay arithmetic Institute summer season tuition at the worldwide concept of minimum Surfaces. in the course of that time, MSRI turned the area heart for the research of minimum surfaces: one hundred fifty mathematicians---undergraduates, post-doctoral scholars, younger researchers, and global experts---participated in the main huge assembly ever hung on the topic in its 250-year heritage. the bizarre nature of the assembly made it attainable to place jointly this selection of expository lectures and really good studies, giving a breathtaking view of a necessary topic provided by way of best researchers within the box. the topics coated contain minimum and constant-mean-curvature submanifolds, geometric degree concept and the double-bubble conjecture, Lagrangian geometry, numerical simulation of geometric phenomena, functions of suggest curvature to common relativity and Riemannian geometry, the isoperimetric challenge, the geometry of absolutely nonlinear elliptic equations and functions to the topology of third-dimensional manifolds. The big choice of themes lined make this quantity appropriate for graduate scholars and researchers drawn to differential geometry.
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