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Mathematical Physics Seminar

Quantum Geometry and Perturbative/Non-perturbative Relations

Gerald Dunne - University of Connecticut

Location:  Hill 705
Date & time: Thursday, 12 April 2018 at 12:00PM - 1:00PM

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, in a completely constructive manner. I explain a geometric all-orders WKB approach to these perturbative/non-perturbative relations, which also reveals surprising connections to number theory and modular forms.

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