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Programme
The
inauguration and the lectures will be held in the Lecture Hall in
the ground floor of
A. N. Kolmogorov Bhavan.
The first week of the workshop
will be completely devoted to the general theory of Lie Groupoids and Lie Algebroids.
Overview of the workshop
Gpd I: Lie groupoids: Fundamental groupoid. Tangent groupoid. Action groupoids.
Gpd II: Cotangent groupoid of a Lie group. Frame groupoids, gauge groupoids.
Gpd III: Bisections. Orbits of a Lie groupoid. Locally trivial Lie groupoids.
Algbd I: Lie algebroids: Tangent bundle. Lie algebroid of a Lie groupoid.
Algbd II : Principal Bundle & Atiyah sequence.
Algbd III: Correspondence between Lie algebroids and Schouten algebra
Algbd IV: Derivations of a Lie Algbd. Representsations of Lie Algebroids.
Algbd V: Lie Algebroid cohomology
Poisson I: Symplectic manifolds
Poisson II: Poisson manifolds. Examples.
Poisson III: Local description of Poisson manifolds. Characteristic foliations.
Poisson IV: Correspondence between Lie algebroids and Poisson vector bundles.
Poisson V: Lie groupoids and Lie algebroids associated to Poisson manifolds.
Lie Theory I: Integrability of Lie Algebroids – an overview
Lie Theory II: Integration of Transitive Lie Algebroids
The lectures notes
Kirill Mackenzie -
Overview of Workshop
Lecture notes on Groupoids
Gpd I , Gpd II , Gpd III
Lecture notes on Algebroids
AlgbdI , AlgbdIII , AlgbdIV , AlgbdV
Lecture notes on Symplectic and Poisson manifolds
Poisson I, Poisson IV
In the second week, speakers will talk about their own work related to any area of Topology and Geometry, though Lie Groupoids and Lie Algebroids will continue to remain the thrust area. The details of the program is available
here.
Kirill Mackenzie
Duality for multiple vector bundles
Double Lie groupoids and double Lie algebroids
Mathieu Stienon
Atiah class of Lie algebroid pairs I & II
Ping Xu
Geometry of Maurier Cartan elements on Complex manifolds
Poisson Lie 2-groups and 2-bialgebras
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