Ideas from quantum field theory and string theory have had
considerable impact on mathematics over the past 20 years. Advances
in many different areas have been inspired by insights from
physics. In 1996-97 the Institute for Advanced Study (Princeton,
New Jersey) organized a special year-long programme designed to
teach mathematicians the basic physical ideas which underlie the
mathematical applications. The purpose was to create and convey an
understanding, in terms useful to mathematicians, of some
fundamental notions of physics and develop the sort of intuition
common among physicists for those who are used to thought processes
stemming from geometry and algebra. These volumes are a written
record of the programme. They contain notes from several long and
many short courses covering various aspects of quantum field theory
and perturbative string theory. The courses were given by leading
physicists and the notes were written either by the speakers or by
mathematicians who participated in the programme. The book also
includes problems and solutions worked out by the editors and
participants. Interspersed are mathematical texts with background
material and commentary on some topics
General
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