DS10 - Défi de tous les savoirs

Analysis on singular and non-compact spaces: a C*-algebra approach – SINGSTAR

Submission summary

Many problems in Mathematical Physics, Number Theory, Geometry, Partial Differential Equations and other areas of science lead to advanced questions in Functional Analysis. An example of such a question is to understand analysis on non-compact and singular spaces. Classical analysis on euclidean spaces or bounded domains can be modeled by either commutative $C^*$-algebras or by the algebra of compact operators, and both of these are examples of operator algebras that correspond to groupoids. We plan to use larger classes of groupoids to model many of the singular spaces that arise in applications. In addition to groupoids, we shall also consider other tools of noncommutative geometry, such as $C^*$-algebras, $K$-theory, and cyclic homology. Natural questions to study are those related to the index and the eta-invariants of the corresponding elliptic operators, the Hadamard
well-posedness of the resulting equations, and applications of such operators.

Project coordination

Victor Nistor (Institut Elie Cartan de Lorraine)

The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.


UBP Laboratoire de Mathématiques, Université Blaise Pascal
I3M Institut de Mathématiques et de Modélisation de Montpellier
IMJ-PRG Institut de mathématiques de Jussieu Paris-Rive Gauche
IECL Institut Elie Cartan de Lorraine

Help of the ANR 398,320 euros
Beginning and duration of the scientific project: September 2014 - 48 Months

Useful links

Explorez notre base de projets financés



ANR makes available its datasets on funded projects, click here to find more.

Sign up for the latest news:
Subscribe to our newsletter