## 'Trans-series: Asymptotic analysis for mathematical functions and nonperturbative physics'

### PD Dr. Falk Bruckmann, Summer term 2015

#### Thursdays, 10:00-11:35 (sharp, incl. a 5 minute break), 4.1.12 (= seminar room particle physics)

The lecture is intended for Physics/Mathematics students interested in these mathematical/physical methods, no particular requirements (missing concepts can be provided as we go along).
- Taylor series
- Stirling formula
- Airy function
- Laplace method
- Lefschetz thimbles
- Borel resummation
- Stokes phenomenon
- Feynman diagrams
- Planck constant and tunnelling
- SUSY quantum mechanics
- Sigma models and instantons
- Yang-Mills theory and renormalons
- Ecale's resurgence and trans-series

contact: office 4.1.02, phone: 943 2002, email: falk.bruckmann@ur.de

(evolving) lecture notes are available here

FB, 27.07.2015