**Seminars and Colloquiums**

for the week of March 11, 2019

for the week of March 11, 2019

*SPEAKERS*

**Monday**

Ryan Unger, University of Tennessee

**Wednesday**

Joan Lind, University of Tennessee

**Thursday**

Nguyen Cong Phuc, Louisiana State University

Theodora Bourni and Mat Langford, University of Tennessee

**Friday**

Cristina Lanzas, North Carolina State University

Zahra Sinaei, University of Massachusetts Amherst

**TEA TIME**

3:00 PM – 3:30 PM

Monday (A404), Tuesday (A401) & Wednesday (A401)

Hosted by: Kelly Buch and Anna Sisk

Topics: Pros and cons of industry positions; how to transition from a graduate student to an industrial position; weekly check-in (a time for students and faculty to discuss current happenings of the Mathematics Department and share any concerns or ideas).

#### Monday, 3/11

#### GEOMETRIC ANALYSIS READING SEMINAR

Title: Preparation for Perelman's singularity analysis

Speaker: Ryan Unger, University of Tennessee

Time: 3:35 PM-5:30 PM

Room: Ayres 113

We'll discuss some classical results such as the Hamilton--Ivey estimate for 3-dimensional Ricci flows, Hamilton's Cheeger--Gromov compactness theorem for Ricci flow, and the Cheeger--Gromov--Taylor injectivity radius estimate.

#### Wednesday, 3/13

#### ANALYSIS SEMINAR

Title: Fair Peano Curves

Speaker: Joan Lind, University of Tennessee

Time: 2:30 PM-3:20 PM

Room: Ayres 113

Given a spanning tree of a rectangular grid in some domain, one can create the so-called peano curve that winds around tree. Thus the uniform spanning tree (UST), which is the random family of spanning trees that gives equal weight to each possible spanning tree, gives rise to a random family of peano curves. Lawler, Schramm, and Werner showed that the scaling limit of these curves is SLE(8). We will consider the notion of fair trees, which will lead to a different probability measure on spanning trees, and we will ask about the scaling limit of the corresponding fair peano curves. This is joint work with Nathan Albin and Pietro Poggi-Corradini.

#### Thursday, 3/14

#### DIFFERENTIAL EQUATIONS SEMINAR

Title: Muckenhoupt-Wheeden Type and Pointwise Bounds in Quasilinear Measure Datum Problems

Speaker: Nguyen Cong Phuc, Louisiana State University

Time: 2:10 PM-3:25 PM

Room: Ayres 114

Please see pdf abstract.

#### GEOMETRIC ANALYSIS SEMINAR

Title: Convex ancient solutions to curve shortening flow

Speaker: Theodora Bourni and Mat Langford, University of Tennessee

Time: 5:10 PM-6:25 PM

Room: Ayres 113

We show that the only convex ancient solutions to curve shortening flow are the stationary lines, shrinking circles, Grim Reapers and Angenent ovals, completing the classification initiated by Daskalopoulos, Hamilton and \v Se\v sum and X.-J.~Wang. Rather than PDE, our proof uses geometric techniques, in particular we exploit the area formula for a trapezium! This is joint work with G. Tinaglia.

#### Friday, 3/15

#### MATH BIOLOGY SEMINAR

Speaker: Cristina Lanzas, North Carolina State University

Time: 11:15 AM-12:05 PM

Room: Ayres 401

In this week's Math Biology seminar, we will enjoy a visit by Dr. Cristina Lanzas (DVM, PhD) of North Carolina State University, co-author of the paper we have been discussing: "Epidemiological Model for Clostridium difficile Transmission in Healthcare Settings." (published in Infection Control and Hospital Epidemiology, June 2011, vol. 32, no. 6 pgs. 553-561.). Graduate students Lindsey Fox and Cara Sulyok will moderate as we discuss this work in person with Dr. Lanzas. If you are interested in being added the Math Biology Seminar 'BaseCamp' site to receive notices and seminar materials directly, please contact Judy Day at judyday@utk.edu.

#### COLLOQUIUM

Title: Convex functional and the stratification of the singular set of their stationary points

Speaker: Zahra Sinaei, University of Massachusetts Amherst

Time: 3:35 PM-4:35 PM

Room: Ayres 405

In this talk, I discuss partial regularity of stationary solutions and minimizers u from a set \Omega\subset \R^n to a Riemannian manifold N, for the functional \int_\Omega F(x,u,|\nabla u|^2) dx. The integrand F is convex and satisfies some ellipticity, boundedness and integrability assumptions. Using the idea of quantitative stratification I show that the k-th strata of the singular set of such solutions are k-rectifiable.

*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@utk.edu *

**Past notices:**

Winter Break