# Analysis Seminar

### 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

### 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

### 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

### Analysis Seminar – John Oliver MacLellan (University of Alabama)

ZoomTitle: Necessary Conditions for Two Weight Weak Type Norm Inequalities for Multilinear Singular Integral Operators Abstract: In this talk we will discuss necessary conditions for a multilinear singular operator T to satisfy two weight weak type norm inequalities provided the kernel of T satisfies a weak non degeneracy condition. As an application of our techniques

### Analysis Seminar – Michael Penrod (University of Alabama)

ZoomTitle: Poincare Inequalities and Neumann Problems for the p(.) Laplacian Abstract: In this talk, we discuss an established result proving an equivalence between weighted Poincare inequalities and the existence of weak solutions to a family of Neumann problems related to a degenerate p-Laplacian. We then extend this result to the variable exponent setting. We also

### Analysis Seminar – Quan Tran (University of Alabama)

ZoomTitle: Two weight bump conditions for commutators. Abstract: In this talk, we give some two weight conditions that are sufficient for the boundedness of commutators of Calderón-Zygmund operators.

### Analysis Seminar – David Cruz-Uribe, OFS (University of Alabama)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Matrix weights, the convex-set valued maximal operator, and Rubio de Francia extrapolation Abstract: In this series of talks (I project three), I want to talk about the theory of matrix weights: its history and motivation, and some recent results by myself, Kabe Moen, and others. The ultimate goal is to give an overview of

### Analysis Seminar – David Cruz-Uribe (University of Alabama)

ZoomTitle: Matrix weights, the convex-set valued maximal operator, and Rubio de Francia extrapolation part 2. Abstract: In this series of talks (I project three), I want to talk about the theory of matrix weights: its history and motivation, and some recent results by myself, Kabe Moen, and others. The ultimate goal is to give an

### Algebra/Topology Seminar – Heather Werth (University of Alabama)

346 Gordon Palmer Hall 505 Hackberry Lane, Tuscaloosa, AL, United StatesTitle: Computation of extension spaces in $kQ$-mod, for $kQ$ the path algebra of a quiver $Q$ of type $\tilde A(n-1,1)$, using planar curves. Abstract: The representation theory of quivers is important to the representation theory of associative algebras in general. If $Q$ is a quiver of affine type $\tilde A(n-1,1)$ and $k$ a fixed algebraically

### Analysis Seminar – David Cruz-Uribe (University of Alabama)

ZoomTitle: Matrix weights, the convex-set valued maximal operator, and Rubio de Francia extrapolation part 3. Abstract: In this series of talks, I want to talk about the theory of matrix weights: its history and motivation, and some recent results by myself, Kabe Moen, and others. The ultimate goal is to give an overview of my