Applied Math Seminar – Ben Jones (University of Alabama)
ZoomTITLE: Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface ABSTRACT: This work further improves the pseudo-transient approach for the Poisson Boltzmann equation (PBE) in the electrostatic analysis of solvated biomolecules. The numerical solution of the nonlinear PBE is known to involve many difficulties, such as exponential nonlinear term, strong singularity by the source
Analysis Seminar – Naga Manasa Vempati (Washington University, Saint Louis)
Title: The two-weight inequality for Calder\'on-Zygmund operators with applications and results on two weight commutators of maximal functions on spaces of homogeneous type. Abstract: For (X,d,w) be a space of homogeneous type in the sense of Coifman and Weiss, i.e. d is a quasi metric on X and w is a positive measure satisfying the doubling
Analysis Seminar – Alyssa Genschaw (University of Connecticut)
ZoomTitle: Solvability of the Dirichlet Problem with L^p Data for Caloric Measure Abstract: This talk concerns two probability measures. First, we consider harmonic measure, which gives solutions to the Dirichlet problem associated to Laplace's equation. Additionally, we may view harmonic measure as the “hitting probability" for Brownian motion. This probabilistic interpretation shows the connection between
Algebra/Topology Seminar – Ina Petkova (Dartmouth College)
ZoomTitle: A contact invariant from bordered Heegaard Floer homology Abstract: Given a contact structure on a bordered 3-manifold, we describe an invariant which takes values in the bordered sutured Floer homology of the manifold. This invariant satisfies a nice gluing formula, and recovers the Oszvath-Szabo contact class in Heegaard Floer homology. This is joint work
Analysis Seminar – Trang Nguyen (University of South Australia)
ZoomTitle: Non-homogeneous T(1) theorem for singular integrals on product quasimetric spaces Abstract: In the Calderón-Zygmund Theory of Singular Integrals, the T(1) theorem of David and Journé is one of the most celebrated theorems. It gives easily-checked criteria for a singular integral operator T to be bounded from L^2(R^n) to L^2(R^n), meaning T(f) is bounded for
Analysis Seminar – Brandon Sweeting (University of Cincinnati)
ZoomTitle: Novel Bellman Estimates for Ap Weights Abstract: The Bellman function method is an assortment of tools for obtaining sharp inequalities in harmonic analysis. To handle an inequality, one fixes a set of parameters, called Bellman variables, and maximizes (or minimizes) the left-hand side subject to these constraints. The solution of the corresponding extremal problem
Colloquium – Yuan Lou (Ohio State University)
ZoomTitle: Basic reproduction number and principal eigenvalue Abstract: Basic reproduction number is a dimensionless constant which is used in epidemiology to determine if an emerging infectious disease can spread. Principal eigenvalue, a key concept in spectral theory, is used to reflect certain properties of matrices or differential operators. In this talk we will discuss some
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTITLE: Variations of the sharp interfaces in multiphase problems ABSTRACT: During recent decades, there has been a tremendous growth of activity on multi-phase problems, e.g. multiphase fluids. In most such models, different phases are separated by a sharp interface. This talk aims at introducing some basic geometric tools for taking first and second variations of the