题目：Judicious Partitions of Graphs报告人：Professor Xingxing Yu （School of Mathematics Georgia Institute of Technology）地点：致远楼105室时间：2017年7月11日(周二)上午10:00欢迎大家前往参加

We characterize common reducing subspaces of several weighted shifts with operator weights. As applications, we study the common reducing subspaces of the multiplication operators by powers of coordinate functions on Hilbert spaces of holomorphic functions in several variables. The identification of reducing subspaces also leads to structure theorems for the commutants of von Neumann algebras generated by these multiplication operators. This general approach applies to weighted Hardy spaces, weighted Bergman spaces, Drury-Arveson spaces and Dirichlet spaces of the unit ball or polydisk uniformly.

Solving the Poisson/Poisson-Boltzmann (PB) equation with varying coefficients has been a bottleneck for simulating proteins within the framework of implicit solvent model due to the dielectric inhomogeneity. In this talk, we will present our recent work on a numerical Boundary Integral Equation (BIE) method for calculations of electrostatic fields in systems consisting multiple proteins in solvent. The BIE is further coupled with treecode for fast kernel summation, and is applicable to arbitrary shaped dielectric interface. Numerical results about the accuracy and efficiency will be discussed, we also show interesting phenomenon that the induced charge on the dielectric interfaces can significantly change the interaction energy of solvated proteins.

In this lecture, we'll talk about the norm correspondence associated to standard intertwining operators on p-adic classical groups raised from the study of L-functions and harmonic analysis, parametrize each orbit, show that the fibres on each section of the norm map have the same cardinality, determine the centralizer and twisted centralizer on each regular

In this paper, two linear stabilized semi-implicit schemes with first and second order temporal accuracy respectively, are proposed for solving the nonlocal Cahn- Hilliard equation. In both schemes we treat the nonlocal diffusion term implicitly and the nonlinear chemical potential part explicitly, and add an artificial term for the sake of stability. The energy stabilities and error estimates of the schemes are rigorously established in the time-discrete sense. Numerical experiments are carried out for the nonlocal Cahn-Hilliard equipped with the Gaussian kernel.

Inequality problems in mechanics can be divided into two main categories: that of variational inequalities concerned with convex energy functionals (potentials), and that of hemivariational inequalities concerned with nonsmooth and nonconvex energy functionals (superpotentials). Through the formulation of hemivariational inequalities, problems involving nonmonotone, nonsmooth and multivalued constitutive laws, forces, and boundary conditions can be treated successfully. Hemivariational inequalities have been shown to be very useful across a wide variety of subjects, ranging from nonsmooth mechanics, physics, engineering, to economics.

By investigating products of certain double cosets for the symmetric group, we derive some multiplication formulas for the q-Schur superalgebras. This gives a combinatorialisation of the relative norm approach developed in an earlier work by Du and Gu. We then give several applications of the multiplication formulas, including the matrix representation of the regular representation and a semisimplicity criterion for q-Schur superalgebras. We also construct infinitesimal and little q-Schur superalgebras directly from the multiplication formulas and develop their semisimplicity criteria.

Do not miss this talk as it could be of both first kind and first hand of research life to you. Being a researcher with over 12000 citations and H-index of 62, the speaker will share his personal journal and view on research process of his numerous projects/publications, and research supervision of his 30+ PhD students and 30+ postdoctoral fellows. He will address the weakest aspects of Chinese students/researchers: creativity and presentation. In particular, he will show