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On the Generic Cantor Spectrum problem

Presented by: 
J You Nanjing University
Date: 
Wednesday 15th April 2015 - 15:00 to 16:00
Venue: 
INI Seminar Room 2
Abstract: 
We prove that The spectrum is a Cantor set for generic one frequency analytic quasi-periodic Schr\"odinger operators, which gives an answer to Problem 6 of Barry Simon's list of conjectures in one frequency case. Some related problems will be posed in the talk. The talk is based on a joint work with R. Krikorian and Q. Zhou.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons