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Texas A&M University
Mathematics

Spectral Theory Reading Seminar

Spring 2020

 

Date:January 20, 2020
Time:4:10pm
Location:Bloc 624
Title:Kick off meeting

Date:January 27, 2020
Time:4:10pm
Location:BLOC 624
Speaker:Wencai Liu, Texas A&M University
Title:Introduction to the gap labeling conjecture and dry Ten Martini Problem
Abstract:In this talk, I will first introduce two equivalent formulations of the gap labeling conjecture: K-Theory and dynamical system. Then I will introduce the (dry) Ten Martini Problem.

Date:February 3, 2020
Time:4:10pm
Location:BLOC 624
Speaker:Burak Hatinoglu, Texas A&M University
Title:Quantitative continuity of spectral gap estimates
Abstract:In this talk, I will present Section 7 of "On the Measure of the Spectrum for the Almost Mathieu Operator" by J. Avron1, P. H. M. v. Mouche, and B. Simon. More precisely, I will show that the spectrum of quasi-periodic operators is 1/2 Holder continuous with respect to the frequency.

Date:February 10, 2020
Time:4:10pm
Location:BLOC 624
Speaker:Petr Naryshkin, Texas A&M University
Title:Floquet Theory I
Abstract:I will present Chapter 1 of "The spectral theory of periodic differential equations" by M. S. P. Eastham.

Date:February 17, 2020
Time:4:10pm
Location:BLOC 624
Speaker:Petr Naryshkin, Texas A&M University
Title:Floquet Theory II
Abstract:I will present Chapter II of " The Spectral Theory of Periodic Differential Equations" by M. S. P. Eastham.

Date:March 2, 2020
Time:4:10pm
Location:Bloc 624
Speaker:James Oquinn, TAMU
Title:Rotational C*-algebras and Their Representations
Abstract:During this talk, I will introduce rotational C*-algebras and establish the role they play in the Choi, Elliot, and Yui paper. I will also discuss some of the theory of the representations of these C*-algebras, as well as their projections, so that their K-theory can be developed in subsequent talks.