The aim of this talk is to dicuss index theory of elliptic pseudodifferential operators on groupoids. It will be very much audience dependent... We will introduce some convolution algebras - including the C*-algebras- of a Lie groupoid, their K-theory, the construction of the index, the link with the tangent (or adiabatic) groupoid, and maybe the Baum-Connes conjecture.Non UBCUnreviewedAuthor affiliation: Universite Paris 7Facult
Abstract. These lecture notes are mainly devoted to a proof using groupoids andKK-theory of Atiyah-S...
We define the "localized index" of longitudinal elliptic operators on Lie groupoids associated with ...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...
The aim of this talk is to dicuss index theory of elliptic pseudodifferential operators on groupoids...
International audienceAlain Connes introduced the use of Lie groupoids in noncommutative geometry in...
International audienceAlain Connes introduced the use of Lie groupoids in noncommutative geometry in...
For any Lie groupoid we construct an analytic index morphism taking values in a modified $K-theory$ ...
For any Lie groupoid, we construct an analytic index morphism taking values in a modified K-theory g...
This paper collects the notes of a serie of lectures given by the two authors during the summer scho...
We revisit the cohomological index theorem for elliptic elements in the universal enveloping algebra...
In this talk we will present natural constructions of Lie groupoids coming from deformation and blow...
In this talk we will present natural constructions of Lie groupoids coming from deformation and blow...
Bibliography addedThe goal of this paper is to construct a calculus whose higher indices are natural...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...
Abstract. These lecture notes are mainly devoted to a proof using groupoids andKK-theory of Atiyah-S...
We define the "localized index" of longitudinal elliptic operators on Lie groupoids associated with ...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...
The aim of this talk is to dicuss index theory of elliptic pseudodifferential operators on groupoids...
International audienceAlain Connes introduced the use of Lie groupoids in noncommutative geometry in...
International audienceAlain Connes introduced the use of Lie groupoids in noncommutative geometry in...
For any Lie groupoid we construct an analytic index morphism taking values in a modified $K-theory$ ...
For any Lie groupoid, we construct an analytic index morphism taking values in a modified K-theory g...
This paper collects the notes of a serie of lectures given by the two authors during the summer scho...
We revisit the cohomological index theorem for elliptic elements in the universal enveloping algebra...
In this talk we will present natural constructions of Lie groupoids coming from deformation and blow...
In this talk we will present natural constructions of Lie groupoids coming from deformation and blow...
Bibliography addedThe goal of this paper is to construct a calculus whose higher indices are natural...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...
Abstract. These lecture notes are mainly devoted to a proof using groupoids andKK-theory of Atiyah-S...
We define the "localized index" of longitudinal elliptic operators on Lie groupoids associated with ...
Given a proper, cocompact action of a Lie groupoid, we define a higher index pairing between invaria...