![Homological algebra / K-theory / Noncommutative geometry / Operator theory / Quantum gravity / Cyclic homology / Spectral triple / Alain Connes / Operator algebra / Abstract algebra / Mathematics / Mathematical analysis Homological algebra / K-theory / Noncommutative geometry / Operator theory / Quantum gravity / Cyclic homology / Spectral triple / Alain Connes / Operator algebra / Abstract algebra / Mathematics / Mathematical analysis](https://www.pdfsearch.io/img/ebc3d95d8f73b8eccec3dd66834d563a.jpg)
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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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