Quantitative Global Theory of One-Frequency Quasiperiodic Operators - Part II

Explore a comprehensive lecture on the quantitative global theory of one-frequency quasiperiodic operators presented by Lingrui Ge from Peking University. Delve into topics such as almost reducibility, the almost reducibility conjecture, and the reducibility conjecture. Examine boundary conditions, type 1 orbital, and key steps in the proof. Gain insights into important ingredients and the improvement argument. This 59-minute talk, part of the SMS 2023 series on Periodic and Ergodic Spectral Problems, offers a deep dive into advanced mathematical concepts and their applications in spectral theory.

Intro
Almost reducibility
Almost reducibility conjecture
Proof
Boundary conditions
Reducibility conjecture
Type 1 orbital
Important ingredients
Key steps
Improvement argument
monograph
questions