Seminars and Colloquiums
for the week of February 12, 2018
Jerzy Dydak, University of Tennessee
Xia Chen, University of Tennessee
Carl Sundberg, University of Tennessee
Jeahyun Park, University of Tennessee
Mette Olufsen, North Carolina State University
Mike Frazier, University of Tennessee
TEA TIME -
3:00 pm – 3:30 pm
Monday, Tuesday, and Wednesday: Ayres 401
Hosted by: Wencel Valega and Dony Varghese
Monday, February 12
TOPOLOGY/ GEOMETRY SEMINAR
TITLE: Ends and simple coarse structures II
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 13
TITLE: Parabolic Anderson equation of a rough noise
SPEAKER: Xia Chen, University of Tennessee
TIME: 2:10 PM-3:20 PM
ROOM: Ayres 114
The model of parabolic Anderson equation with Gaussian noise has been studied extensively in literature, especially the case when the noise is formally given as the derivative of a fractional Brownian sheet--a special but most the important case. On the otherhand, little has been known when this noise has Hurst parameter less than half, i.e., the noise contains the rough components.
This talk will be on the solvability of such equation and contains some of the most recent progress made by the speaker.
GENERAL RELATIVITY SEMINAR
TITLE: Clifford algebras, spin groups, and their representations
SPEAKER: Carl Sundberg, University of Tennessee
TIME: 5:00 PM-6:00 PM
ROOM: Ayres 113
I will give a quick mini-course on the subject of the title and discuss conditions for a Euclidean vector bundle to admit a spin structure.
Wednesday, February 14
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 15
MATH BIOLOGY SEMINAR
TITLE: Using modeling to understand pathophysiology in the cardiovascular control system
SPEAKER: Mette Olufsen, North Carolina State University
TIME: 11:10 AM-12:00 PM
ROOM: Claxton 105
The state of the cardiovascular system can be assessed from time-series signals including heart rate and blood pressure. Characteristics of these signals are used to determine pathophysiology. Experienced clinicians can visually inspect signals and with high level of certainty determine key observed dynamics however analysis with computational models can uncover the underlying mechanisms driving these dynamics. This talk will address how mathematical modeling can be adapted to predict patient specific behavior and how analysis of the system equations can be used to predict emergent behavior. Focus will be on studying dynamics observed in patients diagnosed with postural orthostatic tachycardia (increased heart rate brought on by change in posture, e.g. sit to stand) observed in some girls after vaccination against the human papilloma virus (HPV). Girls exhibiting side-effects to this vaccine often feel dizzy, light-headed, and tired. It is believed that these symptoms are related to pathophysiology within the cardiovascular control system, which is supposed to keep heart rate and blood pressure at homeostasis. To understand how the system is impacted we use models to analyze patient specific changes observed during head-up tilt, Valsalva (breath holding), and deep breathing.
DIFFERENTIAL EQUATIONS SEMINAR
TITLE: Fractional Laplacian Schrodinger equations III
SPEAKER: Mike Frazier, University of Tennessee
TIME: 2:10 PM-3:10 PM
ROOM: Ayres 114
We use our results from the earlier lecture to obtain pointwise estimates for solutions of the fractional Schrodinger equations with Dirichlet boundary conditions, where the inhomogeneous term is 1 on the domain. We relate this problem to the homogeneous problem where the solution is 1 on the complement of the domain. The solution to this second problem is called the gauge. We obtain conditions for the existence of the gauge.
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