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University of Cambridge > Talks.cam > Category Theory Seminar > Lie's Third Theorem in Synthetic Differential Geometry

## Lie's Third Theorem in Synthetic Differential GeometryAdd to your list(s) Download to your calendar using vCal - Matthew Burke (MathSpire Ltd)
- Tuesday 02 May 2017, 14:15-15:15
- MR5, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Tamara von Glehn. This talk will describe a generalisation of Lie’s third theorem in which Lie groups are replaced by a special type of category. The local approximation of such a category will be constructed using an intuitionistic double negation operation. First we will review the classical Lie correspondence and recall the definition of the germ of a local Lie group. Then we will discuss a few attempts to generalise Lie’s third theorem by considering different approximation procedures and working in different ambient categories. Finally we will sketch a proof of Lie’s third theorem using the double negation approximation procedure and the theory of synthetic differential geometry. This talk is part of the Category Theory Seminar series. ## This talk is included in these lists:- All CMS events
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