![Ring theory / Noncommutative geometry / Quantum gravity / Operator theory / Cyclic homology / Noncommutative topology / C*-algebra / Cohomology / Von Neumann algebra / Abstract algebra / Algebra / Homological algebra Ring theory / Noncommutative geometry / Quantum gravity / Operator theory / Cyclic homology / Noncommutative topology / C*-algebra / Cohomology / Von Neumann algebra / Abstract algebra / Algebra / Homological algebra](https://www.pdfsearch.io/img/3215d86fc6217778b7d47f641d062646.jpg)
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City Paris / Born / / Company Singer / / Country Jordan / / IndustryTerm microscopic physical systems / usual tools / / Person Vincent Lafforgue / Atiyah / Brown / Israel Gelfand / / ProgrammingLanguage C* / / Technology radiation / spectroscopy / /
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