# Analysis Seminar: Victor Ivrii (Toronto) "Complete Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Coefficients Operators and Bethe-Sommerfeld Conjecture in Semiclassical Settings"

TITLE:

Complete Spectral Asymptotics for Periodic and Almost Periodic Perturbations of Constant Coefficients Operators and Bethe-Sommerfeld Conjecture in Semiclassical Settings

ABSTRACT:
Under certain assumptions, we derive a complete semiclassical asymptotics of aspectral function of the constant coecient scalar operator perturbed by almostperiodic smaller operator. In particular, a com-
plete semiclassical asymptotics of the integrated density of states also holds.

Bethe-Sommerfeld conjecture in semiclassical settings holds under similarassumptions for periodic perturbations.

## Date:

Wed, 03/06/2020 - 12:00 to 13:00

Ross 70