# 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

**Lecturer: **
Ari Laptev (Imperial College London)

**Location: **
Room F11, KTH

Abstract:

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.