University of Alabama
Special Analysis Seminar – Marcin Bownik, University of Oregon
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesTitle: 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 StatesTitle: 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
Joint Program in Applied Mathematics – University of Alabama in Huntsville
https://www.uah.edu/science/departments/math/research/applied-mathematics-meetings
Analysis Seminar – David Cruz-Uribe, University of Alabama
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesAbstract: 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 StatesTitle: 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 HallTitle: 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 StatesTitle: 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
Colloquium – Yuanzhen Shao, Georgia Southern University
302 Gordon Palmer HallTitle: Singular Manifold Theory and Its Applications Abstract: The aim of this talk is to introduce the concept of singular manifolds, which can describe various kinds of geometric and analytic singularities in a unified way, and then my recent work on the partial differential equation theory over singular manifolds will be presented. Based on this theory, I will investigate several linear and nonlinear parabolic equations arising from geometric analysis and applied sciences. Emphasis will be placed on geometric flows with “bad” initial metrics.
Math Ed Seminar
234 Gordon Palmer Hall AL, United StatesApplied Math Seminar – Husheng Li, University of Tennessee, Knoxville
302 Gordon Palmer HallTitle: Data Driven Quickest Change Detection: In the Spirit of Kullback, Kolmogorov and Shannon Abstract: Quickest change detection is to detect the unknown change of distribution of random process, which has a wide spectrum of applications in practice such as signal processing, financial data analysis and power grid operation, et al. In traditional quickest change