Hormander’s Condition for Multilinear Fourier Multipliers ABSTRACT: Let m be a positive integer. In this talk, we will introduce optimal conditions, expressed in terms of Sobolev spaces, on m-linear Fourier multiplier operators to be bounded from a product of Lebesgue or Hardy spaces to Lebesgue spaces. Our results are sharp and cover the bilinear case (m

Title:Contact and symplectic geometry in low dimensions Abstract: This series of talks will be about explaining some fundamental open problems in three-dimensional contact geometry. The first talk will be devoted to a gentle introduction to low dimensional contact and symplectic topology: some of the important problems that have been shaping much of current research, and

Title: Fractional Integral Operators Associated to Schrodinger Operators Abstract: Consider the Schroedinger operator Lf(x) = - Laplace f(x) + V(x)f(x). We investigate weighted inequalities for the fractional integral operator I_a = (L)^-a/2. More precisely, let 0 < a < n and 1/p - 1/q = a/n, we would like to estimate the operator norm of