Resurgence in topological quantum field theory

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• William Mistegaard (QGM Aarhus)
• Wednesday 01 May 2019, 13:30-14:30
• Watson Building (Mathematics, R15 on map) Lecture Room A.

If you have a question about this talk, please contact Andrea Brini.

In recent years, physicist have made use of resurgence analysis and Picard-Lefschetz theory in quantum field theory (QFT). The key idea is that of complexification, by which we mean the extension of the action functional to a holomorphic function. This motivates the study of the partition function via Picard-Lefschetz theory. The aims of this talk are the following: 1) To present work in progress, which generalizes the mathematical theory of Laplace integrals with holomorphic phase, due to Malgange, Pham and Berry-Howls. 2) To present joint results with Jørgen Ellegaard Andersen, concerning resurgence analysis of quantum invariants and complex Chern-Simons theory. This last part is linked to the use of resurgence in QFT , as the quantum invariants are widely believed to be rigorous models of the partition function of Chern-Simons theory.

This talk is part of the Geometry and Mathematical Physics seminar series.

This talk is included in these lists:

• Bham Talks
• Geometry and Mathematical Physics seminar
• School of Mathematics events
• Watson Building (Mathematics, R15 on map) Lecture Room A

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