Math Department
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
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
Algebra/Topology Seminar – Hakan Doga (University of Buffalo)
ZoomTitle: A combinatorial description of the knot concordance invariant epsilon Abstract: Sitting at the intersection of 4-dimensional topology and knot theory, the knot concordance group is an important object in low-dimensional topology whose structure is not yet fully explored and understood. One approach to study knot concordance is to use knot Floer homology, introduced by
Analysis Seminar – Tuoc Phan (University of Tennesse, Knoxville)
ZoomTitle: Some recent results on L_p-theory for equations with singular and degenerate coefficients Abstract: We consider classes of elliptic and parabolic equations whose coefficients are singular or degenerate of the porotype $x_d^\alpha$ on the domain $\{x_d >0\}, where $\alpha$ is a real number. Two boundary conditions on \{x_d =0\}$ are studied: the homogeneous Diritchlet boundary
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTITLE: Variations of the sharp interfaces in multiphase problems - Part II ABSTRACT: We will continue with the discussion in Part I and derive the first and second variations of the nonpolar solvation energy of an implicit solvation model. Then in combining with some basic tools from Calculus of Variations, we will study the variations
Analysis Seminar – Selim Sukhtaiev (Auburn University)
ZoomTitle: Anderson localization for disordered graphs Abstract: In this talk, we will discuss a mathematical treatment of a disordered system modeling localization of quantum waves in random media. We will show that the transport properties of several natural Hamiltonians on metric and discrete trees with random branching numbers are suppressed by disorder. This phenomenon is
Analysis Seminar – Hengrong Du (Purdue University)
ZoomTitle: Suitable weak solutions of the Ericksen--Leslie system for nematic liquid crystal flows Abstract: In this talk, we will discuss the Ericksen--Leslie system modeling the hydrodynamics of nematic liquid crystals. It is a strongly coupled PDE system between incompressible Navier--Stokes equations for the underlying fluid velocity field and gradient-flow-like equations for the director field describing
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTITLE: Variations of the sharp interfaces in multiphase problems - Part III ABSTRACT: We will continue with the discussion in Part II and derive the first variation of the polar solvation energy of an implicit solvation model. In the rest of this series of talk, we aim at answering the question whether the minimizer of the
Analysis Seminar – Tess Anderson (Purdue University)
ZoomTitle: Dyadic analysis (virtually) meets number theory Abstract: In this talk we discuss two ways in which dyadic analysis and number theory share a rich interaction. The first involves a complete classification of "distinct dyadic systems". These are sets of grids which allow one to compare any Euclidean ball nicely with any dyadic cube, and