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Analysis Seminar – Scott Rodney, Cape Breton University

230 Gordon Palmer Hall 505 Hackberry Lane, AL, United States

Title: Compact Embeddings of Weighted Sobolev Spaces Abstract: In this talk I will discuss some improvements to recent results concerning the compact em- bedding of generalized Sobolev classes into weighted Lq spaces. The novelty of the result lay in the approach. Arguments use Cauchy sequences rather than distributional denitions of Sobolev classes. As a result,

Special Analysis Seminar – Marcin Bownik, University of Oregon

230 Gordon Palmer Hall 505 Hackberry Lane, AL, United States

Title: Exponential frames and syndetic Riesz sequences Abstract: In this talk we shall explore some of the consequences of the solution to the Kadison-Singer problem. In the first part of the talk we present results from a joint work with Itay Londner. We show that every subset $S$ of the torus of positive Lebesgue measure

Applied Math Seminar – Haomin Zhou, Georgia Institute of Technology

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Optimal Transport on Finite Graphs with Applications Abstract: In this talk, I will discuss the optimal transport theory on discrete spaces. Various recent developments related to free energy, Fokker-Planck equations, as well as Wasserstein distance on graphs will be presented, some of them are rather surprising. Applications in game theory and robotics will be

Analysis Seminar – David Cruz-Uribe, University of Alabama

230 Gordon Palmer Hall 505 Hackberry Lane, AL, United States

Abstract:  In this talk I will give an over-view of the Stieltjes integral and  review some of the many definitions that appear in the literature.  I will talk about the strengths and weaknesses of each, particularly in relationship to the classical Darboux and Riemann integrals.  I will conclude with a discussion of a new definition

Colloquium – Rodrigo Bañuelos, Purdue University

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title:  On the discrete Hilbert transform   Abstract:  The discrete Hilbert transform, acting on the space of (doubly infinite) sequences, was introduced by David Hilbert at the beginning of the 20th century. It is the discrete analogue of the continuous Hilbert transform acting on functions on the real line (conjugate function in the periodic case).

Applied Math Seminar – Shan Zhao, University of Alabama

302 Gordon Palmer Hall

Title: An overview of numerical algorithms for the Poisson-Boltzmann equation in biomolecular electrostatics Abstract: The Poisson-Boltzmann Equation (PBE) is a widely used implicit solvent model for the electrostatic analysis of solvated biomolecules. The numerical solution of the PBE is known to be challenging, due to the consideration of discontinuous coefficients, complex geometry of protein structures,

Analysis Seminar – Tuoc Phan, University of Tennessee, Knoxville

227 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United States

Title: Calderon-Zygmund theory for nonlinear partial differential equations and applications Abstract: In this talk, we will discuss several recent developments on regularity theory estimates in Sobolev spaces for solutions of several classes of elliptic and parabolic nonlinear PDEs. Some classes of considered equations may be singular and degenerate. Important ideas and techniques will be highlighted. Connections and applications of the results