09.07.2007Prof. V. S. Rabinovich, Instituto Politécnico Nacional, MexicoEssential spectrum and exponential decay estimates of eigenfunctions of Schrödinger and Dirac operators
AbstractBy means of the limit operators method we obtain a relation between the essential spectra and exponential decay estimates of solutions of elliptic partial differential equations. We give applications to the Agmon type estimates for Schrödinger and Dirac operators.
18.06.2007Prof. Leonid Zelenko, University of HaifaVirtual eigenvalues of the high order Schrodinger operator
21.05.2007Dr. Meirav Amram, Mathematics and Computer Sciences, Bar-Ilan University, Ramat–Gan, IsraelOn the fundamental group of a real conic-line arrangement with two tangent conics and arbitrary number of tangent lines
AbstractThe computation of the fundamental groups of the complements of conic-line arrangements is very important from various aspects, as: distinguishing between two surfaces by the fundamental groups of their branch curves (of a generic projection), discovering new Zariski pairs of curves, etc. In this talk, we list all the possible fundamental groups (of the complements) of real conic-line arrangements with two conics which are tangent at two points, with up to two additional lines in any position. We also present the general form of the fundamental groups (of the complement) of a family of real conic-line arrangements, consisting of two conics (which are tangent at two points) and of arbitrary number of additional lines, which are tangent to the conics. For the computations we have used the topological local braid monodromies, the techniques of Moishezon-Teicher and van-Kampen, and group theoretic computations.
23.04.2007Professor Ognyan Kounchev, Institute of Mathematics and Informatics, Bulgarian Academy of SciencesWhat are wavelets good for?
AbstractProfessor Kounchev is an expert Wavelets Theory. He will be visiting the department of Mathematics during April for ten days. His lecture is intended for non-mathematicians. Students with a little background of Fourier analysis are welcome.
16.04.2007Professor Victor Khatskevich, ORT Braude College, IsraelOperator Linear Fractional Mappings and Plus-Operators in Krein Space
AbstractWe consider Linear Fractional Mappings (LFM) of the unit ball of the space L(X,Y) of all bounded linear operators between Hilbert spaces X and Y. Such mappings are defined by plus-operators in the Krein space H = X + Y. We consider criteria of such mappings to be self-mappings of the ball and we discuss some kinds of parametric representations of LFM and their matricies A. Applications to fixed point problem are also considered.
15.01.2007Haim Ricas, M.Sc Applied Mathematicas, General Manager of Tashtit Scientific Consultants Ltd Wolfram Research Distributors in IsraelNew Educational and Research Approaches with Mathematica
AbstractAbout Mathematica:Mathematica is the world's only fully integrated technical computing system. Mathematica combines powerful computing software with a convenient user interface. Mathematica's features include symbolic and high-performance numeric computation, 2D and 3D data visualization, broad programming capabilities, and one-step creation of web documents. Mathematica's notebook format allows for the generation of cross-platform, fully customizable files that provide professional mathematical typesetting and publication-quality layout of electronic and printed media.About gridMathematica:grid Mathematica implements many parallel programming primitives and includes high-level commands for parallel execution of matrix operations, plotting, and other functions. It comes with sample applications of many popular new programming approaches, such as parallel Monte Carlo simulation, visualization, searching, and optimization.
At the seminar talk I'll present a general overview , I'll demonstrate powerful examples in different fields like Calculus,Differential Equations,Linear Algebra,Optimization and I'll discuss main key benefits on Mathematica and gridMathematica.