Comprising volumes 28 and 29 of the ALM series, this outstanding
collection presents all the survey papers of Shing-Tung Yau
published to date (through 2013), each with Yau's own commentary.
Among these are several papers not otherwise easily accessible.
Also presented are several commentaries on Yau's work written by
outstanding scholars from around the world especially for
publication here. Shing-Tung Yau's work is mainly in differential
geometry, and he is one of the originators of the broad subject of
geometric analysis - in which he remains one of the most active
participants. His contributions have had an influence on both
physics and mathematics, and he has long been active at the
interface between geometry and theoretical physics. His proof of
the positive energy theorem in general relativity demonstrated -
sixty years after its discovery - that Einstein's theory is
consistent and stable. His proof of the Calabi conjecture allowed
physicists - using Calabi-Yau compactification - to show that
string theory is a viable candidate for a unified theory of nature.
Calabi-Yau manifolds are part of the standard toolkit of string
theorists today. He was awarded the Fields Medal in 1982 and the
Wolf Prize in 2010, and has received many other honors. The
Selected Expository Works of Shing-Tung Yau with Commentary
provides the reader with systematic commentary on all aspects of
mathematics by a contemporary master. The reader can thereby see
the world of mathematics through his particular perspective, and
gain understanding of the motivation and evolution of mathematical
ideas.
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