Seminars and Colloquiums
for the week of March 11, 2019
Ryan Unger, University of Tennessee
Joan Lind, University of Tennessee
Nguyen Cong Phuc, Louisiana State University
Theodora Bourni and Mat Langford, University of Tennessee
Cristina Lanzas, North Carolina State University
Zahra Sinaei, University of Massachusetts Amherst
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).
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.
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.
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.
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 firstname.lastname@example.org.
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 email@example.com