This is the old version of the CRM site. Please use the new site on the page crmdegiorgi.sns.it

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.

timetable:
Thu 14 Jun, 10:00 - 11:00, Aula Dini
<< Go back