"The most beautiful thing we can experience is the mysterious. It is the source of all true art and science." Albert Einstein (1879-1955)

"A scientist worthy of his name, about all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature." Jules Henri Poincaré (1854-1912)

## Noncommutative Geometry and Physics

This page contains a collection of papers on Noncommutative Geometry and Physics.

### Noncommutative Geometry

Pierre Cartier, A mad day's work: from Grothendieck to Connes and Kontsevich The evolution of concepts of space and symmetry, Bull. Amer. Math. Soc. ### Noncommutative Geometry and Physics

### Noncommutative Geometry, Quantum Field Theory and Motives

### Noncommutative Geometry Resources

**38**(2001), 389-408

L. Carminati, B. Iochum, D. Kastler, T. Schücker, On Connes' new principle of general relativity. Can spinors hear the forces of spacetime?

G. Cammarata and R. Coquereaux, Comments about Higgs fields, noncommutative geometry and the standard model

A. Chamseddine and A. Connes, The Spectral Action Principle

A. Connes, Gravity coupled with matter and foundation of non-commutative geometry

A. Dimakis, F. Müller-Hoissen, Discrete differential calculus, graphs, topologies and gauge theory

J. Fröhlich, K. Gawedzki, Conformal Field Theory and Geometry of Strings

J. Fröhlich, O. Grandjean, A. Recknagel, Supersymmetric quantum mechanics and (non-commutative) differential geometry

E. Hawkins, Hamiltonian Gravity and Noncommutative Geometry

D. Kastler, T. Schücker, The Standard Model à la Connes-Lott

G. Landi, C. Roveli, General Relativity in terms of Dirac Eigenvalues

F. Lizzi, G. Mangano, G. Miele, G. Sparano, Constraints on Unified Gauge Theories from Noncommutative Geometry

F. Lizzi, G. Mangano, G. Miele, G. Sparano, Fermion Hilbert Space and Fermion Doubling in the Noncommutative Geometry Approach to Gauge Theories

C. P. Martín, J. M. Gracia-Bondía, J. C. Várilly, The Standard Model as a noncommutative geometry: the low energy regime

C. Rovelli, Spectral noncommutative geometry and quantization: a simple example

T. Schücker, J. -M. Zylinski, Connes' Model Building Kit

Joseph C. Varilly, An Introduction to Noncommutative Geometry

Alain Connes, Caterina Consani and Matilde Marcolli, Noncommutative geometry and motives: the thermodynamics of endomotives

Alain Connes and Matilde Marcolli, From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-Lattices

Alain Connes and Matilde Marcolli, From Physics to Number Theory via Noncommutative Geometry, Part II: Renormalization, the Riemann-Hilbert correspondence, and motivic Galois theory

Alain Connes and Matilde Marcolli, Renormalization and motivic Galois theory

Alain Connes and Matilde Marcolli, Quantum fields and motives

Caterina Consani and Matilde Marcolli, Quantum statistical mechanics over function fields

Alain Connes, Personal homepage of Alain Connes (in English)

Alain Connes, Personal homepage of Alain Connes (en français/in French)

Matilde Marcolli, Personal homepage of Matilde Marcolli

Her old homepage at FSU Math Department

MAS6396: NONCOMMUTATIVE GEOMETRY, Noncommutative course taught by Matilde Marcolli, Spring 2008, FSU Math Department

Noncommutative Geometry Resource Center

Noncommutative Geometry, Noncommutative geometry weblog