Math Department
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
Algebra/Topology Seminar – Sergio Fabi, University of Alabama
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesTitle: Synthetic Differential Geometry 101
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
Analysis Seminar – José María Martell (Instituto de Ciencias Matematicas, Madrid Spain)
230 Gordon Palmer Hall 505 Hackberry Lane, AL, United StatesTitle: Understanding BMO and VMO using elliptic systems in the upper-half space Abstract: Harmonic Analysis plays a fundamental role in the study of boundary value problems for elliptic operators. In the simplest case of the Laplacian in the upper half-space, the Dirichlet boundary value problem with data in BMO (i.e., having bounded mean oscillation) is solved
Colloquium – Kyungyong Lee, University of Nebraska-Lincoln
Topic: Introduction to cluster algebras Abstract: The theory of cluster algebras is one of the most mathematically well-studied areas in mathematical physics. Since its discovery in 2001, it has been shown that cluster algebras are related to diverse areas of mathematics such as algebraic geometry, commutative algebra, knot theory, total positivity, quiver representations, string theory, statistical
Colloquium – Bo Li, University of California, San Diego
302 Gordon Palmer HallTitle: Predict the Ligand-Receptor Binding/Unbinding Kinetics with the Variational Implicit-Solvent Model and the String Method Abstract: The ligand-receptor binding/unbinding is a complex biophysical process in which water plays a critical role. To understand the fundamental mechanisms of such a process, we have developed a new and efficient approach that combines our level-set variational implicit-solvent model