**Seminars and Colloquiums**

for the week of January 23, 2017

for the week of January 23, 2017

*SPEAKER:*

Jerzy Dydak, UTK, Monday

Xia Chen, UTK, Tuesday

Stefan Richter, UTK, Wednesday

Ken Stephenson, UTK, Thursday

*TEA TIME -
3:00 pm – 3:30 pm
Monday & Wednesday - Common Room
Tuesday Room: Ayres 401*

*Hosted by: Cassie Micucci*

**Monday, January 23rd **

TOPOLOGY/GEOMETRY SEMINAR

TITLE: Matrix algebra of sets and variants of decomposition complexity

SPEAKER: Jerzy Dydak, UTK

TIME: 2:30pm – 3:20pm

ROOM: Ayres 113

We introduce matrix algebra of subsets in metric spaces and we apply it to improve results of Yamauchi and Davila regarding Asymptotic Property C. Here is a representative result:\\ Suppose $X$ is a metric space and $n\ge 0$ is an integer. The \textbf{asymptotic dimension} $\asdim(X)$ of $X$ is at most $n$ if and only if for any real number $r > 0$ and any integer $m\ge 1$ there is an augmented $m\times (n+1)$-matrix $\mathcal{M}=[\mathcal{B} |\mathcal{A}]$ (that means $\mathcal{B}$ is a column-matrix and $\mathcal{A}$ is an $m\times n$-matrix) of subspaces of $X$ of scale-$r$-dimension $0$ such that $\mathcal{M}\cdot_\cap \mathcal{M}^T$ is bigger than or equal to the identity matrix and $B(\mathcal{A},r)^T\cdot_\cap B(\mathcal{A},r)$ is a diagonal matrix.

**Tuesday, January 24th **

STOCHASTICS/ PROBABILITY SEMINAR

TITLE: Laplace and Fourier transforms in the moment computations

SPEAKER: Xia Chen, UTK

TIME: 2:10pm – 3:25pm

ROOM: Ayres 113

In probability textbooks, the Laplace and Fourier transforms (or moment generating/characteristic functions in probability literature) are introduced for their role in transforming convolution into product. In this talk, we will further explore this elementary idea and illustrate several examples of their applications in the moment computations for the Brownian Hamiltonians. The nature of this talk is on the tool-development instead of result-introduction, in spite that some of the examples come from the speaker's on-going research project.

** Wednesday, January 25th **

ANALYSIS SEMINAR

TITLE: Interpolating sequences for multiplier algebras, 2

SPEAKER: Stefan Richter, UTK

TIME: 2:30pm-3:20pm

ROOM: Ayres 113

Interpolating sequences for the algebra of bounded analytic functions on the open unit disc were characterized by Carleson in 1958. Marshall/Sundberg and Bishop proved an analogous theorem for the multipliers of the Dirichlet space in 1994. By use of the recent solution to the Kadison-Singer problem by Marcus, Spielman, and Srivastava we show that the theorem holds for all spaces with complete Pick kernel.

**Thursday, January 26th **

JR. COLLOQUIUM

TITLE: Attention Rising Math Seniors: are you ready?

SPEAKER: Ken Stephenson, UTK

TIME: 3:40pm-4:30pm

ROOM: Ayres 405

Are you prepared for your senior year? Our program will give you a chance to share questions and experiences with other math students and to get a timely look at what's coming your way. We will have student panels on the GRE and on the graduate school application process, information about summer programs and research with faculty, and open discussions. And pizza! Join us and share (whether you're a rising senior or not).

**Friday, January 27th **

NO COLLOQUIUM

*If you are interested in giving or arranging a talk for one of our seminars or colloquiums, please review our calendar. *

*If you have questions, or a date you would like to confirm, please contact colloquium AT math DOT utk DOT edu *

**Past notices:**

Winter Break