Talk page

Title:
Quantum Geometry and Resurgent Perturbative/Non-perturbative Relations

Speaker:
Gerald Dunne

Abstract:
Certain quantum spectral problems have the remarkable property that the formal perturbative series for the energy spectrum can be used to generate all other terms in the entire trans-series, to all non-perturbative orders, and in a completely constructive manner. I explain a simple geometric all-orders WKB approach to these resurgent perturbative/non-perturbative relations, which reveals some surprising connections to number theory and modular forms.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=3565

Workshop:
Simons- Physics Seminar