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Explore an advanced mathematics lecture that delves into the WKB method for Schrödinger equations, examining its geometric interpretation and quantum resurgence properties on compact Riemann surfaces. Learn how the Borel transform of formal WKB solutions extends to global holomorphic functions on infinite Riemann surfaces, with detailed analysis of exponential bounds at infinity. Discover the intricate relationship between spectral curve geometry and the Stokes phenomenon in WKB methodology, drawing from cutting-edge research presented in arXiv:2410.17224. Presented by Nikita Nikolaev from the University of Birmingham as part of the M-Seminar series at Kansas State University, this mathematical exploration builds upon fundamental concepts to reveal deep connections between geometry and quantum mechanics.
