Speaker: John-Oliver MacLellan Title: Necessity of Two Weight Ap for L^p Boundedness of Singular Integral Operators Abstract:  The goal of this talk is to investigate necessary conditions for a singular integral operator to map L^p(v)-> L^p(u).  I will review the classical results for the maximal operator and Hilbert transform and then talk about more recent

Title: Decentralized consensus optimization on networks with delayed and stochastic gradients Abstract: Decentralized consensus optimization has extensive applications in many emerging big data, machine learning, and sensor network problems. In decentralized computing, nodes in a network privately hold parts of the objective function and need to collaboratively solve for the consensual optimal solution of the

Title: Two-sided Mullins-Sekerka flow does not preserve convexity, after Uwe F. Mayer   Abstract: The (two-sided) Mullins-Sekerka model is a nonlocal evolution model for closed hypersurfaces, which was originally proposed as a model for phase transitions of materials of negligible specific heat. Under this evolution the propagating interfaces maintain the enclosed volume while the area of the

Title: Two-weight problem for the Fourier transform. Abstract: We examine the problem of the Fourier transform mapping one weighted Lebesgue space into another, by studying necessary conditions and sufficient conditions which expose an underlying geometry. In the necessary conditions, this geometry is connected to an old result of Mahler concerning the the measure of a

Abstract In this presentation we examine some useful properties of the numerical range. We explore two dierent positions , generic and generalized generic positions. We show that two pairs of subspaces (M,N) and (M?;N?) are unitarily equivalent if M and N are subspaces of Cn in generic position by constructing a unitary operator. We establish