Seminars and Colloquiums
for the week of November 12, 2018
Jeremy Siegert, University of Tennessee
Stefan Richter, University of Tennessee
Cheng Wang, University of Massachusetts Dartmouth
Logan Perry, University of Tennessee
M. Gregory Forest, University of North Carolina at Chapel Hill
3:00 PM – 3:30 PM
Monday, Tuesday, & Wednesday
Room: Ayres 404 (Monday), Ayres 401 (Tuesday & Wednesday)
Hosted by: Liam Bitting
TOPOLOGY/ GEOMETRY SEMINAR
TITLE: Boundaries of coarse proximity spaces and boundaries of compactifications II
SPEAKER: Jeremy Siegert, University of Tennessee
TIME: 3:35 PM-4:25 PM
ROOM: Ayres 406
In this talk we will describe the boundary of a coarse proximity space. This boundary is a subset of the boundary of a certain Smirnov compactification. We show that each such boundary is a compact Hausdorff space and that every compact Hausdorff space can be realized as the boundary of a coarse proximity space. We will then show that for proper metric spaces equipped with their metric coarse proximity structures, the boundary is homeomorphic to the Higson corona. Time permitting we will describe the coarse proximities on Hausdorff rim compact spaces (resp. Gromov hyperbolic spaces) whose boundaries are the Freudenthal (resp. Gromov) boundaries.
TITLE: Factorization of functions and non-commutative analysis, 2
SPEAKER: Stefan Richter, University of Tennessee
TIME: 2:30 PM-3:20 PM
ROOM: Ayres 113
Every L^1-function can we written as a product of two L^2-functions. Of course, the easy brute force construction does not preserve analyticity.
However, by use of a classical theorem of F. Riesz it is well-known that every Hardy space H^1-function is a product of two H^2-functions. A recent result accomplishes an analogous factorization for other spaces of analytic functions in one or more variables. A surprising ingredient of the proof are theorems from free function theory. I will give an overview.
COMPUTATIONAL and APPLIED MATHEMATICS (CAM) SEMINAR
TITLE: A semi-implicit projection method for the Landau-Lifshitz equation and its convergence analysis
SPEAKER: Cheng Wang, University of Massachusetts Dartmouth
TIME: 3:35 PM-4:35 PM
ROOM: Ayres 113
A second order accurate numerical scheme for the Landau-Lifshitz equation, the dynamics of magnetization in a ferromagnetic material with a non-convex constraint, is proposed and analyzed. The temporal discretization is based on the second-order backward differentiation formula, combined with the one-sided extrapolation for the coefficient function, so that the numerical method preserves a linear nature. Subsequently, a projection step is used to preserve the length of the magnetization. The unique solvability of this scheme is theoretically guaranteed with the help of monotonicity analysis. In addition, the convergence analysis for the fully discrete numerical solution is established, with second-order accuracy in both time and space. Some numerical results are also presented in the talk.
MATH BIOLOGY SEMINAR
TITLE: The Impact of Foresight on Leadership
SPEAKER: Logan Perry, University of Tennessee
TIME: 10:10 AM-11:00 AM
ROOM: Ayres 401
TITLE: An emerging mechanistic paradigm for self-organization and functional properties of biological materials: the power of weak binding
SPEAKER: M. Gregory Forest, University of North Carolina at Chapel Hill
TIME: 3:35 PM-4:35 PM
ROOM: Ayres 405
With mounting data from super-resolution microscopy of biological systems, new insights into underlying mechanisms of self-organization and diverse functional properties are emerging. Biological materials within living species must be adaptive and responsive, and rapidly recover when driven out of equilibrium. This lecture will focus on a diversity of biological materials, performing disparate functions and tasks, all sharing a common mechanism: transient, short-lived binding kinetics of ensembles of molecular anchors. Each material system is explored through feedback between experimental data, data analytics, mechanistic modeling and computation, real and virtual visualization. Many collaborators and contributors will be acknowledged during the lecture.
M. Gregory (Greg) Forest is an applied mathematician at UNC Chapel Hill. His early career was devoted to integrable and nearly integrable nonlinear wave equations, focusing on multiphase wave trains and their perturbative behavior. He developed interests in polymer science while at Ohio State, with applications to inkjet printing, textile spinlines, flowing liquid crystals, and nanocomposites, interests which continue today. Since moving to UNC, Forest has developed interests in biology and multidisciplinary collaborations including the Virtual Lung Project aimed at engineering solutions for lung disease, the dynamics and structure of chromosomal DNA in live cells, antibody-pathogen interactions in mucosal barriers, and membrane-less compartments in the cytoplasm and nucleus that form by phase separation induced by transient chemical kinetics.
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