The launch of this Advanced Lectures in Mathematics series is aimedat keeping mathematicians informed of the latest developments inmathematics, as well as toaid in the learning of new mathematicaltopics by students all over the world. Each volume consists ofeither an expository monograph or a collection of signify cantintroductions to important topics, This series emphasizes thehistory and sources of motivation for the topics under discussion,and also gives an overview of the current status of research ineach particular field. These volumes are the first source to whichpeople will turn in order to learn new subjects and to dis coverthe latest results of many cutting-edge fields inmathematics.
This book contains many substantial papers from distinguishedspeakers of a conference 'Geometric Analysis: Present and Future'and an overview of the works of Professor Shing-Tung Yau.Contributors include E. Witten, Y.T. Siu, R. Hamilton, H. Hitchin,B. Lawson, A. Strominger, C. Vafa, W. Schmid, V. Guillemin, N. Mok,D. Christodoulou. This is a valuable reference that gives anup-to-dated summary of geometric analysis and its applications inmany different areas of mathematics.