Informal Topology Seminar
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Posted August 23, 2017

Last modified November 28, 2017

Rob Quarles, Louisiana State University

The Alexander module

Colloquium
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Posted January 12, 2018

3:30 pm - 4:20 pm tba
Jake Fillman, Virginia Tech

Spectral properties of quasicrystals

Abstract: Discovered in the early 1980s by Dan Shechtman, quasicrystals are solids that simultaneously exhibit aperiodicity (a lack of translation symmetries) and long-range order (quantified by the presence of Bragg peaks in their diffraction patterns). We will discuss almost-periodic Schroedinger operators, which supply a rich family of operator-theoretic models of quasicrystals. Our discussion will center around the spectral properties of the underlying operator and transport properties of the associated quantum dynamics. We will discuss how some of our results may be viewed as an inverse spectral theoretic obstruction to solving Deift's conjecture for the KdV equation with current technology. We will conclude with a discussion of results in higher dimensions that are motivated by the Bethe--Sommerfeld conjecture.

Colloquium
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Posted January 13, 2018

Last modified January 14, 2018

Galyna Dobrovolska, Columbia University

tba

Algebra and Number Theory Seminar
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Posted November 30, 2017

3:10 pm - 4:00 pm
William Casper, Louisiana State University

TBA

Computational Mathematics Seminar

Posted January 16, 2018

3:30 pm - 4:30 pm 1034 Digital Media Center
Amanda Diegel, Louisiana State University

The Cahn-Hilliard Equation, a Robust Solver, and a Phase Field Model for Liquid Crystal Droplets

Abstract: We begin with an introduction to the Cahn-Hilliard equation and some motivations for the use of phase field models. We will then go on to describe a first order finite element method for the Cahn-Hilliard equation and the development of a robust solver for that method. The key ingredient of the solver is a preconditioned minimal residual algorithm (with a multigrid preconditioner) whose performance is independent of the spatial mesh size and the time step size for a given interfacial width parameter. In the second part of the talk, we present a novel finite element method for a phase field model of nematic liquid crystal droplets. The model considers a free energy comprised of three components: the Ericksen''s energy for liquid crystals, the Cahn-Hilliard energy for phase separation, and an anisotropic weak anchoring energy that enforces a boundary condition along the interface between the droplet and surrounding substance. We present the key properties of the finite element method for this model including energy stability and convergence and conclude with a few numerical experiments.

Colloquium
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Posted January 12, 2018

3:30 pm - 4:20 pm Lockett
Christine Lee, University of Texas at Austin

tba

Algebra and Number Theory Seminar
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Posted November 30, 2017

3:10 pm - 4:00 pm
William Casper, Louisiana State University

TBA

Posted September 14, 2017

12:00 pm - 4:00 pm Saturday, February 3, 2018 Digital Media Center TheatreScientific Computing Around Louisiana (SCALA) 2018

Applied Analysis Seminar
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Posted January 10, 2018

3:30 pm - 4:30 pm Lockett 233
Prashant Kumar Jha, LSU

TBA