Noncommutative geometry, at its core, challenges the classical notion of a point by allowing coordinates to fail to commute. This alteration leads to a rich interplay between geometry and algebra, ...

Quantum metric spaces extend the classical notion of metric spaces into the noncommutative realm by utilising operator algebras and associated seminorms to capture geometric structure in settings ...

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 ...