Quantum Groups and Noncommutative Geometry | Mathematics Area - SISSA

Quantum Groups and Noncommutative Geometry

Research Group:

Geometry and Mathematical Physics

Higgs mass and non commutative geometry: the seek for a new scalar field

Read more about Higgs mass and non commutative geometry: the seek for a new scalar field

Spectral triples for noncommutative solenoidal spaces from self-coverings

Read more about Spectral triples for noncommutative solenoidal spaces from self-coverings

Heat kernel approach to singular problems

Read more about Heat kernel approach to singular problems

NCG - Martinetti - On twisting real spectral triples

Read more about NCG - Martinetti - On twisting real spectral triples

Canonical commutation relations and Bogoliubov transformations

Read more about Canonical commutation relations and Bogoliubov transformations

Lecture: Geometry and the Quantum

Read more about Lecture: Geometry and the Quantum

Non-commutative geometry

Read more about Non-commutative geometry

Quantum Groups in Noncommutative geometry

Read more about Quantum Groups in Noncommutative geometry

Modules over the noncommutative torus, elliptic curves and cochain quantization

Read more about Modules over the noncommutative torus, elliptic curves and cochain quantization

Basics of Noncommutative Geometry

Noncommutative Topology.
- Motivation. The dictionary.
Noncommutative Geometry.
- Spectral Triples: The data set. The compact resolvent condition. Boundedness of the commutators. Examples of spectral triples: the circle S1; the noncommutative torus.
- Spectral Dimension and the zeta function: Definition. The trace property. Computations for the examples. Gauss-Bonnet for the noncommutative two torus.

Read more about Basics of Noncommutative Geometry

Pages

Sign in