**Seminars and Colloquiums**

for the week of September 3, 2018

for the week of September 3, 2018

*SPEAKERS*

**Tuesday**

Shandelle Henson, Andrews University

Vasileios Maroulas, University of Tennessee

Giuseppe Tinaglia, King’s College London

**Wednesday
**Luis Melara, Shippensburg University

**Jimmy Scott, University of Tennessee**

**Mariana Smit Vega Garcia, University of Washington**

Thursday

Thursday

Friday

Friday

Lou Gross and Suzanne Lenhart, University of Tennessee

Vivian Healey, University of Chicago

*TEA TIME*

3:00 PM – 3:30 PM

Tuesday & Wednesday (no Monday)

Room: Ayres 401

Hosted by: Hannah Thompson

Topics: Meet & greet with all participants from the Math Department/introductions with new students; How returning graduate students and faculty can best support new graduate students.

**Tuesday, 9/4**

SIAM STUDENT CHAPTER LUNCH EVENT

TITLE: Informal chat with Dr. Shandelle Henson, Professor of Mathematics and Ecology

SPEAKER: Shandelle Henson, Andrews University

TIME: 12:30 PM-1:00 PM

ROOM: Ayres 401

...pizza will be provided!

STOCHASTICS SEMINAR

TITLE: Distributions of persistence diagrams

SPEAKER: Vasileios Maroulas, University of Tennessee

TIME: 2:10-3:10

ROOM: A113

I will talk on how we construct probability distributions for persistence diagrams, a toplogical summary. Based on the construction, I will approximate the distributions with a kernel density estimate. Convergence results and simulations will be discussed.

MINIMAL SURFACES SEMINAR

TITLE: Introduction to the Colding-Minicozzi theory

SPEAKER: Giuseppe Tinaglia, King’s College London

TIME: 4:00 PM-5:30 PM

ROOM: Ayres 121

We will give an overview of the Colding Minicozzi theory for embedded minimal disks.

** Wednesday, 9/5**

SACNAS WELCOME EVENT

TITLE: Informal Chat with Dr. Luis Melara

SPEAKER: Luis Melara, Shippensburg University

TIME: 12:20 PM-1:00 PM

ROOM: Min H. Kao Building, Room 435

The UT Student Chapter of Society for Advancement of Chicanos/Hispanics and Native Americans in Science (SACNAS) invites you to join Dr. Luis Melara for a lecture on mathematics, diversity, and career path. Dr. Melara is an Associate Professor of Mathematics at Shippensburg University. His work intersects the areas of computational science, mathematics, and statistics. As an active member of SACNAS, SIAM, and ACM Tapia Conference, Dr. Melara advocates for making STEM accessible to all students.

ANALYSIS SEMINAR

TITLE: A Characterization of Vector-Valued Function Spaces Which Characterize Differentiability Properties – Part II

SPEAKER: Jimmy Scott, University of Tennessee

TIME: 2:30 PM-3:20 PM

ROOM: Ayres 113

In this series of talks we prove an equivalence of two optically different classes of function spaces. We show that a class of spaces of vector fields whose semi-norms involve the magnitude of “directional” difference quotients is in fact equivalent to the class of fractional Sobolev spaces. The equivalence results from a new “fractional Korn’s inequality.” To further investigate this equivalence, we examine the finer structure of these new function spaces via an analogue of the auxiliary g-function.

In Part I we stated the main results and discussed the proof of the classical Korn’s inequality. In Part II we give the necessary background on singular integrals and sketch the proof of the fractional Korn’s inequality.

** Thursday, 9/6**

GEOMETRIC ANALYSIS SEMINAR

TITLE: Recent developments in the thin obstacle problem

SPEAKER: Mariana Smit Vega Garcia, University of Washington

TIME: 4:00 PM-5:00 PM

ROOM: Ayres 121

The study of the classical obstacle problem began in the 60's with the pioneering works of G. Stampacchia, H. Lewy and J. L. Lions. During the past five decades it has led to beautiful and deep developments in calculus of variations and geometric partial differential equations. One of its crowning achievements has been the development, due to L. Caffarelli, of the theory of free boundaries. Nowadays the obstacle problem continues to offer many challenges and its study is as active as ever. In particular, over the past years there has been some interesting progress the thin obstacle problem, also called Signorini problem.

In this talk I will overview the thin obstacle problem for a divergence form elliptic operator, and describe a few methods used to tackle two fundamental questions: what is the optimal regularity of the solution, and what can be said about the free boundary, in particular the regular and singular sets. The proofs are based on Almgren, Weiss and Monneau type monotonicity formulas. This is joint work with Nicola Garofalo and Arshak Petrosyan.

** Friday, 9/7**

MATH BIOLOGY SEMINAR

TOPIC: Regime Shifts in Ecosystems

LEADERS: Lou Gross and Suzanne Lenhart, University of Tennessee

TIME: 10:10 AM-11:00 AM

ROOM: Ayres 401

COLLOQUIUM

TITLE: Scaling Limits and the Loewner Equation: From SLE to Tree Embedding

SPEAKER: Vivian Healey, University of Chicago

TIME: 3:35 PM-4:35 PM

ROOM: Ayres 405

Starting with a simple random walk, rescale (in space and time) and take the limit as the step size goes to zero; the result is Brownian motion. But what limit would you get if you started by assuming that the random walk never intersected itself? The answer (to many versions of this question in two dimensions) is Schramm-Loewner evolution (SLE). In this talk, we will discuss SLE as both the scaling limit of discrete processes (like the loop-erased random walk) and as the continuous time output of the Loewner equation when Brownian motion is used as the equation’s input, or “driving function.” However, the Loewner equation can be used to generate more than curves. In the second half of the talk, we will describe recent work that uses the Loewner equation to embed trees in the upper half-plane, and we will investigate the scaling limit of this process. (Joint work with Govind Menon, Brown University.)

*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 mlangfo5
AT
utk DOT edu *

**Past notices:**