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. |