Noncommutative geometry offers a radical reformulation of traditional geometrical concepts by replacing the classical notion of a manifold with a noncommutative algebra of coordinates. This approach ...

Noncommutative geometry extends the tools of differential geometry to settings where coordinate algebras fail to commute, replacing point-wise spaces with operator algebras. Central to this framework ...

We plan to run the workshop in hybrid form with a considerable number of participants present in Münster and video transmission to the outside world. This workshop intends to be a first meeting point ...

The spectrum of the canonical operator in the noncommutative 2-torus Tθ depending on the parameter θ ∈ [0,1] © Douglas Hofstadter's butterfly. Licensed under ...

To address these challenges, the team led by Prof. Hailu Luo at Hunan University proposed a method to achieve diverse quantum path entanglement based on the interaction between noncommutative ...

My research belongs to the area of noncommutative geometry. I am particularly interested in the cyclic cohomology and index theory. I am interested as well in the deformation quantization and its ...

Topology, geometry and analysis of stratified spaces; deformation quantization of singular phase spaces; noncommutative geometry and index theory of singular spaces; Hochschild and cyclic homology ...

The latest news and top stories on Li Hanfeng, a distinguished mathematician, known for his significant contributions to noncommutative geometry and dynamical systems. A 2021 American Mathematical ...