**Seminars and Colloquiums**

for the week of August 28, 2017

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:**