MAT 1341F Topics in Differential Geometry: Lie Groupoids and Lie Algebroids

Classes: M10-12, T2 BA 6180

Lie groupoids, and their infinitesimal counterparts, the Lie algebroids, arise in many areas of differential geometry, such a Poisson geometry, index theory, foliation theory, or symmetries of differential equations. In recent years, there has been a lot of progress towards understanding these structures, such as the Crainic-Fernandes integrability obstructions and various results on 'multiplicative structures' on Lie groupoids. Tentative topics include:

Prerequisites: Topology I (Manifolds).

Marking scheme

The course mark will be based on attendence, as well as a problem set that I hope to have ready around end of October. (I'll try to not make it too difficult.)

Course notes

Course notes will be posted here.

Last update: October 1, 2017


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