In differential geometry we use objects called Lie groups to investigate symmetries of differentiable manifolds. These groups are related to algebraic objects called Lie algebras via a differentiation procedure. Given a Lie algebra, it is reasonable to ask whether or not the differentiation procedure can be reversed to produce a Lie group (integration). In this talk I will give a survey of a few particular cases of the integration problem and my contributions to the subject.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/158