### Seminars and Colloquiums for the week of August 28, 2017

SPEAKERS

Logan Higginbotham, UTK, Wednesday
Abner Salgado, UTK, Wednesday
Marcelo Disconzi, Vanderbilt, Thursday

Wednesday, August 30th, 2017

TOPOLOGY/ GEOMETRY SEMINAR
TITLE: Group actions on large scale spaces
SPEAKER: Logan Higginbotham, UTK
TIME: 3:35-4:25 PM
ROOM: Ayres 404
We will begin the talk by giving a brief refresher on the basics of large scale geometry. Let G be a group that acts on X and let $(X,\mathcal{X})$ be a large scale space. Then we will show a construction of a new large scale structure, $\mathcal{X}_G$ that is $\mathcal{X}$ with the addition of uniformly bounded sets so that each function $h_g$ that sends $x$ to $g\cdot x$ is close to the identity map. We will end the talk with the proof of the following theorem: Let X be a discrete bounded geometry metric space and let $\mathcal{X}$ be the large scale structure induced by the metric on X. Let G be an amenable group that acts on X by coarse equivalences. If $(X,\mathcal{X})$ has property A, then $(X,\mathcal{X}_G)$ has property A.

COMPUTATIONAL and APPLIED MATHEMATICS (CAM) SEMINAR
TITLE: Computational and Applied Mathematics Organizational Meeting
SPEAKER: Dr. Abner Salgado, UTK
TIME: 3:35pm-4:45pm
ROOM: Ayres 113

Thursday, August 31, 2017

DIFFERENTIAL EQUATIONS SEMINAR
TITLE: On the regularity of solutions to the three-dimensional free-boundary compressible Euler equations with surface tension in the case of liquid.
SPEAKER: Dr. Marcelo Disconzi, Vanderbilt
TIME: 2:10pm – 3:10pm
ROOM: Ayres 112
We derive new a priori estimates for the three-dimensional free-boundary compressible Euler equations with surface tension in the case of a liquid. We close our estimates assuming that the initial velocity and density have three weak derivatives in $L^2$, thus lowering the regularity of the initial data as compared to earlier results. This is a joint work with Igor Kukavica.

#### 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:

###### last updated: May 2018

Department of Mathematics
College of Arts & Sciences

227 Ayres Hall. 1403 Circle Drive. Knoxville TN 37996-1320
Phone: 865-974-2461 Fax: 865-974-6576 Email: math_info@utk.edu