CRM: Centro De Giorgi
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Universality of Resurgence in Quantization Theories

The spectral problem of the modular oscillator in the strongly coupled regime

speaker: Rinat Kashaev (Universite de Genève)

abstract: Motivated by applications for non-perturbative topological strings in toric Calabi-Yau manifolds, I will talk about the spectral problem for a pair of commuting modular conjugate (in the sense of Faddeev) Harper type operators with complex values of Planck's constant. The eigenvectors are expressed in terms of a special entire function on the complex plane with the Taylor expansion coefficients given in terms of specific q-orthogonal polynomials, while the eigenvalues are solutions of transcendental Bethe type equations. This is a joint work with Sergey Sergeev.

Thu 14 Jun, 10:00 - 11:00, Aula Dini
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