# Victor Ivrii: Complete Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Operators and Bethe-Sommerfeld Conjecture in Semiclassical Settings

**Time: **
Tue 2019-02-19 14.00 - 15.00

**Lecturer: **
Victor Ivrii, University of Toronto

**Location: **
Seminar Hall Kuskvillan, Institut Mittag-Leffler

Under certain assumptions we derive a complete semiclassical asymptotics of a spectral function of the constant coefficient scalar operator perturbed by almost periodic “smaller” operator.In particular, a complete semiclassical asymptotics of the integrated density of states also holds.

Under similar assumptions for periodic perturbations Bethe-Sommerfeld conjecture in semiclassical settings holds.