**Seminars and Colloquiums**

for the week of November 9, 2015

for the week of November 9, 2015

*SPEAKER:*

Mark Bly, UTK, Monday

Andrew Marchese, UTK, Tuesday

Richard Schugart, Western Kentucky University, Tuesday

Rachel Radom, Scholarly Communication Librarian UTK Libraries, Wednesday

Pengtao Yue, Virginia Tech, Wednesday

Kevin Sonnanburg, UTK, Thursday

Brian Allen, UTK, Thursday

Rebecca Pettit, UTK, Friday

James Sunkes, UTK, Friday

*Tea Time, Monday - Wednesday, 3:00 pm*

Hosted by Jenny Fowler

Hosted by Jenny Fowler

**Monday, November 9th **

GEOMETRY AND TOPOLOGY SEMINAR

Cancelled this week

ALGEBRA SEMINAR

TITLE: Projective modules and Hermite rings

SPEAKER: Mark Bly, UTK

TIME: 3:35-4:25

ROOM: Ayres 114

This and the next few talks explain Suslin's proof of Serre's conjecture on projective modules and elaborate on some related topics.

** Tuesday November 10th **

SEMINAR IN STOCHASTICS

TITLE: Machine Learning: A Stochastic Point of View

SPEAKER: Andrew Marchese, UTK

TIME: 2:10 – 3:10pm

ROOM: Ayres 114

I will talk about machine learning and how we can apply statistic and probabilistic methods to model selection. I will introduce the Vapnik-Chervonenkis dimension and the Rademacher Complexity and show how they can be used in analyzing and bounding generalization error rates for both balanced and unbalanced data.

NIMBIOS INTERDISCIPLINARY SEMINAR

TITLE: Can mathematics heal all wounds?

SPEAKER: Richard Schugart, Western Kentucky University

TIME: 3:30 pm, refreshments at 3pm

ROOM: Hallam Auditorium, Room 206, NIMBioS, Claxton Education Building, 1122 Volunteer Blvd

In this talk, I will present multiple wound-healing problems. The first problem uses optimal control theory to analyze the treatment of a bacterial infection in a wound with oxygen therapy. Two types of oxygen therapies (hyperbaric and topical) will be presented and preliminary results will be presented. The second problem uses patient data to formulate a mathematical model for proteolytic enzyme interactions and their effects on the healing response of a wound. Curve fitting of the model and sensitivity analyses will be presented with some interesting results when comparing different sensitivity analyses. Extensions of both problems will also be discussed.

Richard Schugart (Mathematics, Western Kentucky University, 2015) is a sabbatical fellow at NIMBioS. Schugart has developed preliminary optimal control models using ordinary and partial differential equations for the treatment of bacterial infection with either topical or hyperbaric oxygen therapy. At NIMBioS, he is analyzing models for existence of weak solutions and is developing numerical methods for solving the systems of differential equations. Analysis of the simulation results will suggest optimal treatment strategies for bacterial removal in wounds.

** Wednesday November 11th **

GRADUATE STUDENT SEMINAR

SPEAKER: Rachel Radom, Scholarly Communication Librarian UTK Libraries

TIME: 9:05-9:55am

LOCATION: Ayres 405

Why do some journals use a CC-BY license and others ask authors to transfer copyright? What are the differences and similarities between ResearchGate, Academia.edu, ORCID, and Trace? What is open access and why do librarians often, but not always, support it? Can you include tables and graphs in your publications, theses and dissertations? How do you seek copyright permissions?

These questions and others are some of the topics that will be covered in the presentation. As part of the Scholars’ Collaborative, the Scholarly Communication Librarian helps all UT researchers with publishing, copyright, and author rights questions.

COMPUTATIONAL & APPLIED MATHEMATICS (CAM) SEMINAR

TITLE: ALE-Phase-field simulations of moving contact lines on moving particles

SPEAKER: Pengtao Yue, Virginia Tech

TIME: 3:35 – 4:35 pm

ROOM: Ayres 112

In this talk, I will present a hybrid Arbitrary-Lagrangian-Eulerian(ALE)-Phase-Field method for the direct numerical simulation of multiphase flows where fluid interfaces, moving rigid particles, and moving contact lines coexist. Practical applications include Pickering emulsions, froth flotation, and biolocomotion at fluid interface. An ALE algorithm based on a Galerkin finite element method and an adaptive moving mesh is used to track the moving boundaries of rigid particles. A phase-field method based on the same moving mesh is used to capture the fluid interfaces; meanwhile, the Cahn-Hilliard diffusion automatically takes care of the stress singularity at the moving contact line when a fluid interface intersects a solid surface. To fully resolve the diffuse interface, mesh is locally refined at the fluid interface. All the governing equations, i.e., equations for fluids, interfaces, and particles, are solved implicitly in a unified variational framework. As a result, the hydrodynamic forces and moments on particles do not appear explicitly in the formulation and an energy law holds for the whole system. The three-phase flow is essentially free of parasitic currents if the surface tension term is properly formulated. In the end I will present some results on the water entry problem and the capillary interaction between floating particles (a.k.a. the Cheerios effect), with a focus on the effect of contact-line dynamics.

** Thursday November 12th **

DIFFERENTIAL EQUATIONS SEMINAR

TITLE: Type-I Singularities for a Semilinear Parabolic Equation

SPEAKER: Kevin Sonnanburg, UTK

TIME: 2:10–3:25pm

ROOM: Ayres 114

For the equation ut = ?u + |u|p?1u, (p > 1), a type-I blow-up solution is one for which we can say ?u(·, t) ?L? ? C(T ? t)?1/(p?1) for some C > 0, where T is the blow-up time. Solutions satisfying this property are well understood and generally behave nicely. Following work by Kammerer, Merle, and Zaag, we will see that in the right conditions, the set of initial which have type-I solutions is an open set.

JUNIOR COLLOQUIUM

TITLE: Ironing Out the Wrinkles in a Black Hole Horizon

SPEAKER: Brian Allen, UTK

TIME: 3:40pm - 4:30pm

ROOM: Ayres 405

The idea of "ironing out", or "smoothing" mathematical objects has been an exciting topic over the last forty years. These ideas are known as "parabolic partial differential equation techniques" and they have been applied to the distribution of heat in a room, the solution to the Millenium Prize Problem on the Poincaré conjecture, and even the study of black holes. As we explore the intuition of heat flow together we will see how this simple concept, in the context of geometric evolution equations, can yield a remarkable result about black holes.

**Friday November 13th **

MATH BIOLOGY SEMINAR

TITLE: A discrete model of invasion with surveillance and removal

SPEAKER: Rebecca Pettit, UTK

TIME: 10:10-11am

ROOM: Ayres 405

ANALYSIS SEMINAR

TITLE: The Interplay of Operator Theory and Function Theory

SPEAKER: James Sunkes, UTK

TIME: 2:30

ROOM: BU 476

In this introductory talk, I will motivate and discuss the technique of modeling operators on arbitrary Hilbert spaces as operators on Hilbert spaces of holomorphic functions. This technique allows us to take questions about operators and translate them into problems regarding functions. I will give a sketch of the proof of Beurling's Theorem (1949), which characterizes the invariant subspaces of the unilateral shift. Then I will discuss a dilation theorem proven by Drury (1978), which serves as the genesis of the Drury-Arveson space. This will be the first of two talks.

COLLOQUIUM - Cancelled this week

*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 *