| Date: | January 17, 2020 |
| Time: | 4:00pm |
| Location: | BLOC 220 |
| Speaker: | Gilles Pisier, Texas A&M University |
| Title: | Non-nuclear C*-algebras with WEP and LLP and the Connes-Kirchberg problem, part 1 |
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| Date: | January 24, 2020 |
| Time: | 4:00pm |
| Location: | BLOC 220 |
| Speaker: | Gilles Pisier, Texas A&M University |
| Title: | Non-nuclear C*-algebras with WEP and LLP and the Connes-Kirchberg problem, part 2 |
|
| Date: | January 27, 2020 |
| Time: | 2:00pm |
| Location: | BLOC 220 |
| Speaker: | Sang-Gyun Youn, Queen's University at Kingston |
| Title: | On the similarity problem for locally compact quantum groups |
| Abstract: | The celebrated work of Day and Dixmier in 1950 states that,
for an amenable locally compact group G, every bounded Hilbert space
representation of the convolution algebra L1(G) is automatically similar
to a *-representation. This property has been explored within the
framework of locally compact quantum groups since 2009. The aim of this
talk is to explain the current status of this problem and why the
property does not hold for a large class of non-Kac type compact quantum
groups. |
|
| Date: | February 7, 2020 |
| Time: | 4:00pm |
| Location: | BLOC 220 |
| Speaker: | Wencai Liu, Texas A&M University |
| Title: | The gap labeling conjecture and the dry Ten Martini Problem |
| Abstract: | The "Ten Martini Problem" dubbed after Marc Kac and Barry Simon states that the almost Mathieu operator with irrational flux has Cantor spectrum, which has been solved by Avila and Jitomirskaya completely about 10 years ago. The stronger conjecture (the dry Ten Martini Problem) predicted all spectral gaps with canonical labels are non-collapsed is still open.
In this talk, I will present two equivalent formulations of the gap labeling conjecture (K-Theory and dynamical system) and discuss two corresponding approaches to tackle the dry Ten Martini problem. More precisely, I will firstly introduce the method by Choi-Elliot-Yui via writing the almost Mathieu operator as the irrational rotation C*-algebra with two canonical unitary generators. Secondly, I will introduce another approach by Avila, Avila-Jitomirskaya (with the generalization by Yuan and me), Eliasson, Sinai, and others via studying the dynamics of a family of linear skew-products driven by irrational rotation on cocycles. |
|
| Date: | February 14, 2020 |
| Time: | 4:00pm |
| Location: | BLOC 220 |
| Speaker: | Michael Brannan, TAMU |
| Title: | Non-local Games and the Connes Embedding Conjecture |
|
| Date: | February 21, 2020 |
| Time: | 4:00pm |
| Location: | BLOC 220 |
| Speaker: | Michael Brannan, TAMU MATH |
| Title: | Synchronous Games, Traces, and an Explicit Separation for the Tsirelson Problem |
| Abstract: | I will continue the discussion from last week on the preprint https://arxiv.org/abs/2001.04383 |
|
| Date: | February 28, 2020 |
| Time: | 4:00pm |
| Location: | BLOC 220 |
| Speaker: | Michael Brannan, TAMU MATH |
| Title: | Synchronous Games, Traces, and an Explicit Separation for the Tsirelson Problem, Part II |
| Abstract: | I will continue from last week - wrapping up the construction of the game that witnesses an explicit separation for the Tsirelson problem, and I will also tr to explain a bit more how COMPRESS and the fixed point theorem are used to get the main results (addressing a question of Konrad from last week). |
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