### Seminars and Colloquiums 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:

1_16_17.html

Winter Break

11_28_16.html

11_21_16.html

11_14_16.html

11_7_16.html

10_31_16.html

10_24_16.html

10_17_16.html

10_10_16.html

10_3_16.html

9_26_16.html

9_19_16.html

9_12_15.html

spring_16.html

fall_15.html

###### last updated: May 2018

Department of Mathematics
College of Arts & Sciences

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Phone: 865-974-2461 Fax: 865-974-6576 Email: math_info@utk.edu

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