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Ari Laptev: Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves

Time: Wed 2019-05-15 13.15 - 14.15

Location: Room F11, KTH

Participating: Ari Laptev (Imperial College London)

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We describe some spectral properties of functional-difference operators related to mirror curves of special del Pezzo Calabi-Yau threefolds. Using the coherent state transform we find Weyl's type asymptotics for the Riesz means of its eigenvalues. We also consider a version of the Darboux transform that is related to creation and annihilation operators for standard Schrödinger operators.