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

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Lie's Third Theorem in Synthetic Differential Geometry

Download to your calendar using vCal

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:

Note that ex-directory lists are not shown.

Other lists

Americas & Caribbean Archaeology Group SPACE CU Truth Movement Society

Other talks

Precision psychiatry The Neurophenomenology of Surrender: Agency, Renewal, and Social Engagement in Speaking in Tongues Title to follow How Far Can Good Go Without God? The Limits of a Naturalistic Ethic A Data-Centric Approach to AI Adaptation and Alignment Seminars in Cancer
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity