Math Department
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
Colloquium – Wilfrid Gangbo, UCLA
ZoomTitle: Analytical Aspects of Mean Field Games Abstract: We highlight the isometry between the set of probability measures and the quotient of a Hilbert space. This allows to see that some important operators, such as the common noise operator in Mean Field Games, are nothing but partial Laplacians. We introduce to the so-called master equation
Applied Math Seminar – Yi Sun (University of South Carolina)
ZoomTitle: Kinetic Monte Carlo Simulations of Multicellular Aggregate Self-Assembly in Biofabrication Abstract: We present a three-dimensional lattice model to study self-assembly and fusion of multicellular aggregate systems by using kinetic Monte Carlo (KMC) simulations. This model is developed to describe and predict the time evolution of postprinting morphological structure formation during tissue or organ maturation in
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTitle: Variations of the sharp interfaces in multiphase problems - Part IV Abstract: In the first part of the talk, we will show the existence of a minimizer for a minimal surface problem with prescribed mean curvature and obstacle. In the second part, we will focus on the question whether the minimizing surface enjoys enough
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
Algebra/Topology Seminar – Eamonn Tweedy (Widener University)
ZoomTitle: The co-rank of three-dimensional homology handlebody groups Abstract: A group G is called very large if G has a non-abelian free quotient. We examine the question of which three-manifolds have very large fundamental group. This question is especially subtle for a three-dimensional homology handlebody of genus g, since the fundamental group of such a
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
Applied Math Seminar – Yuanzhen Shao (University of Alabama)
ZoomTitle: Variations of the sharp interfaces in multiphase problems - Part V Abstract: We will conitnue with the discussion on the regularity of a minimal surface with prescribed mean curvature and obstacle. The problem leads to a variational inequality. Then we will use a result by Breiz and Kinderlehrer to show that the minimizing surface
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.