NCG 07 (Trieste workshop noncommututative manifolds w. appl. physics)

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SUMMARY

The NCG 07 workshop on Noncommutative Manifolds, held from October 22-26, 2007, at the University of Trieste and SISSA, focused on advancements in noncommutative differential geometry. Key topics included the definition and examples of noncommutative manifolds, the construction of spectral triples, and the role of Dirac operators in relation to quantum groups and mathematical physics applications. Notable speakers included Alain Connes, Shahn Majid, and Roberto Percacci, who contributed significantly to the field, particularly in nonperturbatively renormalizable gravity and asymptotic safety theories.

PREREQUISITES
  • Understanding of noncommutative differential geometry
  • Familiarity with spectral triples and Dirac operators
  • Knowledge of quantum groups and their applications
  • Basic concepts of mathematical physics
NEXT STEPS
  • Study Alain Connes' contributions to noncommutative geometry
  • Explore Shahn Majid's work on quantum groups
  • Research Roberto Percacci's 2007 paper on f(R) gravity
  • Investigate the implications of asymptotic safety in quantum gravity
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This discussion is beneficial for mathematicians, physicists, and researchers interested in noncommutative geometry, quantum gravity, and advanced mathematical physics applications.

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http://www.sissa.it/fm/ncg07.html
Workshop on Noncommutative Manifolds II
Trieste NCG07
October 22-26, 2007

The Department of Mathematics of the University of Trieste and the International School for Advanced Studies (SISSA) organize a workshop on Noncommutative Manifolds. The workshop will be devoted to recent developments in noncommutative differential geometry with emphasis on the definition and examples of noncommutative manifolds, the construction of spectral triples and in particular of the Dirac operators, relations to quantum groups and applications in mathematical physics.

The program will consist of a number of lectures by leading experts (suitable for students and young post-doc) and several more advanced seminars.Mini-courses:
Alain Connes (Collége de France and Vanderbit University, USA)
Shahn Majid (Queen Mary, UK)
Matilde Marcolli* (MPIM, Germany)

Talks:
...
...

Roberto Percacci (SISSA, Italy)
...
Marc Rieffel (Berkeley University, USA)
...
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over 20 talks listed, I just pick two names to give an idea. Roberto Percacci has contributed the ASYMPTOTIC SAFETY chapter, and Q/A, for Daniele Oriti's book
*Approaches to Quantum Gravity, towards a new understanding of space, time, and matter*
Percacci has been investigating NONPERTURBATIVELY RENORMALIZABLE gravity for about as long as Martin Reuter. His 2007 paper on f(R) gravity gave some of the most convincing evidence of the existence of the high-end fixed point (this was by Percacci Codello Rahmede---it has been mentioned several places by Reuter.)
 
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