**Seminars and Colloquiums**

for the week of January 30, 2017

for the week of January 30, 2017

*SPEAKER:*

Jerzy Dydak, UTK, Monday

Xia Chen, UTK, Tuesday

Christian Edholm, UTK, Thursday

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

*Hosted by: Shuler Hopkins and Jesse Sautel*

**Monday, January 30th **

TOPOLOGY/GEOMETRY SEMINAR

TITLE: Matrix algebra of sets and variants of decomposition complexity, Part II

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 31st **

STOCHASTICS/ PROBABILITY SEMINAR

TITLE: Laplace and Fourier transforms in the moment computations, Part II

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.

** Thursday, February 2nd **

JR. COLLOQUIUM

TITLE: An Epidemiological Journey

SPEAKER: Christian Edholm, UTK

TIME: 3:40pm-4:30pm

ROOM: Ayres 405

In November 2014 I started my work with epidemiology when I attended the South African Mathematical Sciences Association Masamu program in Victoria Falls, Zimbabwe. I will talk about two of the projects that we worked on during that year and the following years.

In light of the Ebola outbreak in 2014, we worked on an Ebola model during our South Mrica Mathematical Sciences Association Masmau program in 2014 and 2015. Our model partitions the population into those who take precautions against contracting the disease and those who do not. We consider new infections arising in both hospital settings as well as in the community, and include transmission from dead bodies and the environment. Our goal is to illustrate role of education in limiting a potential future Ebola outbreaks in Sudan using data and modeling. We considered implications of a new strain with respect to different death rates and recovery rates.

Buruli Ulcers is a debilitating disease induced by Mycobacterium ulcer- ans. The transmission mechanism is not known at this time, but the bacteria is known to live in natural water environments. To understand the role of human con- tact with water environments in the spread of this disease, we formulate a model to emphasize the interaction between humans and the pathogen in a water environ-ment. Therefore, we included two susceptible classes with one having more expo- sure to the water environment than the other in our system of differential equations. We analyze stability of our model and estimate model parameters from data from Ghana. A global sensitivity analysis of certain parameters using the total number of infecteds as the output was completed. This work gives insight into the importance of various components of the mechanisms for transmission dynamics.

** Friday, February 3rd **

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