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Seminars and Colloquiums
for the week of February 19, 2018


SPEAKERS

Monday
Jerzy Dydak, University of Tennessee
Tuesday
Bo Gao, University of Tennessee
Theodora Bourni, University of Tennessee
Wednesday
Vivian Healey, University of Chicago
Jeahyun Park, University of Tennessee
Thursday
Judy Day, University of Tennessee
Yannick Sire, Johns Hopkins University
Ryan Unger, University of Tennessee
Friday
Christopher Strickland, University of Tennessee


TEA TIME -
3:00 pm – 3:30 pm
Monday, Tuesday, and Wednesday: Ayres 401
Hosted by: Anna Lawson and Betsy Downs

Monday, February 19

TOPOLOGY/ GEOMETRY SEMINAR
TITLE: Ends and simple coarse structures III
SPEAKER: Jerzy Dydak, University of Tennessee
TIME: 2:30 PM-3:20 PM
ROOM: Ayres 112
Abstract coarse structures were introduced by J.Roe. Subsequently, equivalent structures, called large scale structures were introduced by J.Dydak and C.Hoffland. This talk is devoted to a much simpler definition of majority of useful coarse structures (metric, group, C_0, etc). Namely, they are equivalence relations on the set of simple ends of sets equipped with a bounded structure. As an application we show that Gromov boundary of every hyperbolic space is an example of a Higson corona and each Freundenthal compactification is an example of a Higson compactification.

Tuesday, February 20

STOCHASTICS/PROBABILITY SEMINAR
TITLE: Asymptotics for Brownian motion in Poissonian potential with Riesz kernel
SPEAKER: Bo Gao, University of Tennessee
TIME: 2:10 PM-3:20 PM
ROOM: Ayres 114
The model of Brownian motion in Poissonian potential has been studied a lot in literature. In this talk, we will investigate the quenched long term asymptotics for the Brownian motion in a Poissonian potential with Riesz shape functions.

GENERAL RELATIVITY SEMINAR
TITLE: The positive mass theorem in 3 dimensions
SPEAKER: Theodora Bourni, University of Tennessee
TIME: 5:00 PM-6:00 PM
ROOM: Ayres 113
In this talk we will present the first part of the 1979 Schoen-Yau paper and prove that the mass of an asymptotically flat 3 dimensional manifold with a possibly non-empty mean convex boundary is non negative.

Wednesday, February 21

ANALYSIS SEMINAR
TITLE: Tree Embedding via the Generalized Loewner Equation
SPEAKER: Vivian Healey, University of Chicago
TIME: 2:30 PM-3:20 PM
ROOM: Ayres 112
In its most well-known form, the Loewner equation gives a correspondence between curves in the upper half-plane and continuous real functions (called the “driving function” for the equation). We consider the generalized Loewner equation, where the driving function has been replaced by a time-dependent real measure. In the first part of the talk, we investigate the delicate relationship between the driving measure and the generated hull, specifying a class of discrete random driving measures that generate hulls in the upper half-plane that are embeddings of trees. In the second part of the talk, we consider the probabilistic question of finding the scaling limit of these measures for Galton-Watons trees. We particularly focus on distributions on trees converging to the continuum random tree, and we conclude by describing connections to the complex Burgers equation.

COMPUTATIONAL and APPLIED MATHEMATICS (CAM) SEMINAR
TITLE: Discrete Gagliardo-Nirenberg inequalities
SPEAKER: Jeahyun Park, University of Tennessee
TIME: 3:35 PM-4:35 PM
ROOM: Ayres 112
In this talk, I will talk about a way of getting a discrete version of Gagliardo-Nirenberg inequalities in a typical finite element setting. More specifically, in a globally continuous piecewise polynomial finite element setting, we can only expect 1st order regularity for a function in the finite element space. We will discuss how to get a discrete Gagliardo- Nirenberg type inequality for the finite element function that involves 2nd order derivative in its continuous counterpart (i.e. the original Gagliardo-Nirenberg inequality).

Thursday, February 22

MATH BIOLOGY SEMINAR
TITLE: An introduction to the methodology of model predictive control in the context of a biomedical application
SPEAKER: Judy Day, University of Tennessee
TIME: 11:10 AM-12:00 PM
ROOM: Hesler 427

DIFFERENTIAL EQUATIONS SEMINAR
TITLE: Asymptotic limits for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces
SPEAKER: Yannick Sire, Johns Hopkins University
TIME: 2:10 PM-3:10 PM
ROOM: Ayres 114
I will describe an asymptotic result on the fractional Allen-Cahn equation involvingthe fractional Laplacian. The limiting interface is a stationary nonlocal minimalsurface. A striking phenomenon is a strong convergence result due to a geometricmeasure theory result by Marstrand.

GEOMETRIC ANALYSIS SEMINAR
TITLE: The isoperimetric problem and spherical rearrangements
SPEAKER: Ryan Unger, University of Tennessee
TIME: 5:00 PM-6:00 PM
ROOM: Ayres 113
We show how to decrease the Sobolev norm of a smooth function by spherically rearranging its level sets (Polya-Szego inequality). This is connected to the Euclidean isoperimetric problem and the best constant in the Sobolev inequality.

Friday, February 23

SIAM STUDENT CHAPTER
Title: Informal chat on career path and research interests
Speaker: Christopher Strickland, University of Tennessee
Time: 12:20 PM-1:00 PM
Room: Ayres 404
Bagels will be provided.

Faculty Meeting
TITLE: Faculty Meeting
TIME: 3:30 PM-4:30 PM
ROOM: Ayres 405


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:

2_12_18

2_5_18

1_22_18

1_16_18

12_11_17

12_04_17

11_27_17

11_20_17

11_13_17

11_6_17

10_30_17

10_23_17

10_16_17

10_9_17

10_2_17

9_25_17

9_18_17

9_11_17

9_4_17

8_28_17

 

last updated: May 2018

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