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Explore a mathematics seminar lecture that delves into the WKB method for Schrödinger equations, examining its geometric interpretation and quantum resurgence properties. Learn how Schrödinger equations on compact Riemann surfaces demonstrate quantum resurgence, where the Borel transform of formal WKB solutions extends to global holomorphic functions on infinite Riemann surfaces with exponential bounds. Discover the intricate relationship between the geometry of spectral curves and the Stokes phenomenon in WKB method, drawing from research presented in arXiv:2410.17224. Delivered by Nikita Nikolaev from the University of Birmingham at Kansas State University's M-Seminar, the lecture provides a rigorous mathematical framework for understanding these complex quantum mechanical concepts.
