| Document Date: 2011-09-28 00:49:59
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City Tehran / Banff / / Company Lie / Brown / Gal / / Country Jordan / United States / Canada / Iran / / Facility Fields Institute / Vanderbilt University / Banff International Research Station / Second Annual Spring Institute / / IndustryTerm symmetry / elliptic operator / classical algebraic topology tools / e.g. energy / manifold index theorem / indispensable tool / noncommutative geometric tools / finite projective module operator / abstract elliptic operators / / Organization School of Mathematics / Fields Institute in Toronto / Vanderbilt University / Second Annual Spring Institute / Institute for Studies / / Person Guoliang Yu / Dietmar Bisch / Bruce Hughes / Joachim Cuntz / George Elliott / Alain Connes / Boris Tsygan / G.B. Khosrovshahi / Masoud Khalkhali / Gennady Kasparov / Dan Quillen / / Position Singer / director / Head / / ProvinceOrState Alberta / / URL www.pims.math.ca/birs / /
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1 Introduction One of the major advances of science in the 20th century was the discovery of a mathematical formulation of quantum mechanics by Heisenberg in 1925