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Colloquium – Dan Margalit (Georgia Institute of Technology)
ZoomTitle: Algebraic, geometric, and dynamical aspects of surfaces Abstract: Taffy pullers, lab stirrers, and paint mixers are complicated dynamical systems. To any such system we can ascribe a real number, called the entropy, which describes the amount of mixing being achieved. Which real numbers arise, and what do they say about the dynamics of the
Applied Math Seminar – Lin Li (University of Texas at El Paso)
ZoomTITLE: Revealing the mechanisms of molecular motors’ motility by using computational approaches ABSTRACT: Dynein is a molecular motor for cargo transportation and force generation in cells. Dysfunction of dynein is associated with many diseases, such as ciliopathies, lissencephaly and other neurodegeneration disorders. Understanding the functions of dynein is crucial for developing new treatments of such
Algebra/Topology Seminar – Yi Ni (California Institute of Technology)
ZoomTitle: The second term in knot Floer homology Abstract: It is well known that the genus g of a knot is the highest Alexander grading for which the knot Floer homology is nontrivial. In recent years, there is evidence suggesting that the knot Floer homology is also nontrivial in the Alexander grading g-1. In this talk, I
Applied Math Seminar – Shan Zhao (University of Alabama)
ZoomTitle: Regularization methods for the Poisson-Boltzmann model with sharp or diffuse interfaces Abstract: Both the sharp interface and diffuse interface Poisson-Boltzmann (PB) models have been presented in the literature for studying electrostatic interactions between a solute molecule and its surrounding solvent environment. In the mathematical analysis and numerical computation for these PB models, a significant
Applied Math Seminar – Amanda Koh (UA Dept. of Chemical and Biological Engineering)
ZoomTITLE: Deformable inclusion jamming for improved magnetorheological performance Abstract: Magnetorheological fluids (MRFs) are simple systems of magnetic particles dispersed in a non-magnetic carrier fluid. When a magnetic field is applied to the MRF, magnetic particles form chains and the fluid becomes more solid-like and able to resist shear forces. This liquid to solid transition, which
Analysis Seminar – Quan Tran (University of Alabama)
ZoomTitle: Two weight bump conditions for commutators. Abstract: In this talk, we give some two weight conditions that are sufficient for the boundedness of commutators of Calderón-Zygmund operators.
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTitle: Variations of the sharp interfaces in multiphase problems - Part V Abstract: We will conitnue with the discussion on the regularity of a minimal surface with prescribed mean curvature and obstacle. The problem leads to a variational inequality. Then we will use a result by Breiz and Kinderlehrer to show that the minimizing surface
Analysis Seminar – Michael Penrod (University of Alabama)
ZoomTitle: Poincare Inequalities and Neumann Problems for the p(.) Laplacian Abstract: In this talk, we discuss an established result proving an equivalence between weighted Poincare inequalities and the existence of weak solutions to a family of Neumann problems related to a degenerate p-Laplacian. We then extend this result to the variable exponent setting. We also
Algebra/Topology Seminar – Eamonn Tweedy (Widener University)
ZoomTitle: The co-rank of three-dimensional homology handlebody groups Abstract: A group G is called very large if G has a non-abelian free quotient. We examine the question of which three-manifolds have very large fundamental group. This question is especially subtle for a three-dimensional homology handlebody of genus g, since the fundamental group of such a
Analysis Seminar – John Oliver MacLellan (University of Alabama)
ZoomTitle: Necessary Conditions for Two Weight Weak Type Norm Inequalities for Multilinear Singular Integral Operators Abstract: In this talk we will discuss necessary conditions for a multilinear singular operator T to satisfy two weight weak type norm inequalities provided the kernel of T satisfies a weak non degeneracy condition. As an application of our techniques