Analysis Seminar – Tim Ferguson, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Ahlfors' Extension of the Schwarz-Pick Lemma Abstract: I will discuss Ahlfors' extension of the Schwarz-Pick lemma from complex analysis. This lemma involves negatively curved conformal metrics called ultrahyperbolic metrics and compares them to Poincare metric on the unit disc. As an application, I will discuss a proof of Picard's theorem. (Don't worry, you don't need to know
Analysis Seminar – Oleksandra Beznosova, University of Alabama
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesApplied Math Seminar
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesAnalysis Seminar – John-Oliver MacLellan (University of Alabama)
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: "A Compact Embedding Theorem for Degenerate Sobolev Spaces" Abstract: In this talk I will prove a compact embedding theorem for degenerate Sobolev spaces into naturally associated weighted Lebesgue spaces. This is a generalization of the Rellich Kondrachov compactness theorem for classical Sobolev spaces. These embeddings have been studied in a very general context in
Colloquium – John Etnyre, Georgia Institute of Technology
346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTopic: Curvature and contact topology Abstract: Contact geometry is a beautiful subject that has important interactions with topology in dimension three. In this talk I will give a brief introduction to contact geometry and discuss its interactions with Riemannian geometry. In particular I will discuss a contact geometry analog of the famous sphere theorem and
Applied Math Seminar – Shibin Dai (University of Alabama)
228 Gordon Palmer Hall Tuscaloosa, AL, United StatesTitle: Bilayers as Local Structures of the Functionalized Cahn-Hilliard Functional Abstract: Amphiphilic structures such as cell membranes and lipid vesicles play essential roles in biological applications. In this talk, we will first introduce the functionalized Cahn-Hilliard (FCH) model for the free energy of amphiphilic mixtures. The FCH model admits local minimizers corresponding to amphiphilic bilayers,
Analysis Seminar – Arum Lee (University of Alabama)
227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Definition of Weak Solution of Poisson Equation with Homogeneous Dirichlet Boundary Condition Abstract: In this talk, I will discuss the ideas of weak derivatives, traces of Sobolev functions and the weak solution of Poisson equation. These definitions are the very basic but important definitions in PDE. This talk will explain the motivation behind these