Lecture Notes
Noncommutative Geometry
Lecture Notes
Problem Sets
References and Further Reading
Noncommutative Geometry Resources
Click on linked topics to view lecture notes.
Click on the following links topics for problems.
A. P. Balachandran, G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, G. Sparano, P. Teotonio-Sobrinho, Finite Quantum Physics and Noncommutative Geometry
A. P. Balachandran, G. Bimonte, G. Landi, F. Lizzi, G. Sparano, P. Teotonio-Sobrinho, Lattice Gauge Fields and Noncommutative Geometry
A. P. Balachandran, G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, G. Sparano, P. Teotonio-Sobrinho, Noncommutative Lattices as Finite Approximations
G. Bimonte, E. Ercolessi, G. Landi, F. Lizzi, G. Sparano, P. Teotonio-Sobrinho, Noncommutative Lattices and Their Continuum Limits
A. Borel at al., Algebraic D-Modules, Perspectives in Mathematics, Vol.2, Academic Press
O. Bratteli, Inductive Limits of Finite Dimensional \(C^\ast\)-Algebras, Transactions of the American Mathematical Society, Vol. 171, (Sep., 1972)(pp. 195-234)
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
Alain Connes, Non-commutative differential geometry, Publications mathématiques de l'I.H.É.S., tome 62 (1985), 41-144
Alain Connes, Noncommutative Geometry, Academic Press, 1994
Alain Connes, Trace formula in noncommutative geometry and the zeros of the Riemann zeta function, Journées Équations aux dérivées partielles (1997), 1-28
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
S. C. Coutinho, A Primer of Algebraic D-modules, London Mathematical Society Student Texts 33, Cambridge University Press, 1995
Ana Cannas da Silva and Alan Weinstein, Geometric Models for Noncommutative Algebras, 1998
A. Dimakis, F. Müller-Hoissen, Discrete differential calculus, graphs, topologies and gauge theory
E. Ercolessi, G. Landi, P. Teotonio-Sobrinho, K-Theory of Noncommutative Lattices
E. Ercolessi, G. Landi, P. Teotonio-Sobrinho, Noncommutative Lattices and the Algebras of Their Continuous Functions
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
Geometry,Birkäuser
José M. Gracia-Bondía, Joseph C. Várilly, Héctor Figueroa, Elements of Noncommutative
E. Hawkins, Hamiltonian Gravity and Noncommutative Geometry
D. Kastler, T. Schücker, The Standard Model à la Connes-Lott
Giovanni Landi, An Introduction to Noncommutative Spaces and Their Geometries
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, Personal homepage of Alain Connes
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 DepartmentNoncommutative Geometry Resource Center
Noncommutative Geometry, Noncommutative geometry weblog