Welcome to Professional Development committee of
Mathematics and Computer Science at QCC.
About us.
Professional Development Committee provides Professional and undergraduate level seminars related to Mathematics and computer science. We are welcome to invite the speakers. If you are interested or know someone who is willing to present, please contact our committee chair.
Members
Seminars
Our seminar activites
Date: May 07, 14 at 14:05 (S-430)
Speaker:Dr. Caner Koca
Einstein's Equations on Compact Complex Surfaces.
Abstract
After a brief review of Einstein's Equations in General Relativity and Riemannian Geometry, I will talk about two of my recent results: 1) The only positively curved Hermitian solution to Einstein's Equations (in vacuo) is the Fubini--Study metric on the complex projective plane. 2) All extremal Kahler metrics on compact complex surfaces satisfy a conformally invariant version of the classical Einstein--Maxwell Equations, called Bach--Maxwell Equations.
Date: Apr 23, 14 at 14:05 (S-314)
Speaker:Dr. Jeehoon Park
Effective computation of the Griffiths period integrals
Abstract
The goal of the talk is to provide an effective algorithm to compute the Griffiths period integrals of a smooth projective hypersurface X. Its idea is based on a new cochain level realization, equipped with a binary product, of the middle dimensional cohomology of X and its associated homotopy Lie algebra theory, so called, $L_\infty$ algebra theory.
Date: Mar 19, 14 at 12:05 (S-213)
Speaker:Dr. Andrew Bulawa
Symmetry Reduced Relativity
Abstract
General relativity describes gravity in terms of the geometry of space-time. It also describes which spatial geometries are admissible and how these geometries evolve through time. Although knowledge differential geometry is required to understand GR in its full generality, we will step around this requirement by imposing symmetry conditions on the space-time geometry to simplify the analysis while preserving key aspects of the theory. This presentation will begin with a brief introduction to the theory of general relativity and the concept of space-time geometry. We will then impose symmetry assumptions to produce examples that are easy to derive and visualize. These examples include the Robertson-Walker cosmological model, which describes the expansion of the universe, and the Schwarzschild solution, which describes isolated gravitational fields around planets and black holes. We will end with a discussion of Einstein-Rosen waves, which describe gravitational radiation.
Date: Nov 06, 13 at 13:00 (S-213)
Speaker:Dr. Zhendong Sun
Performance analysis of switched linear systems
Abstract
The switched linear system consists of several linear time-invariant subsystems and a switching law that supervise the switches among the subsystems. In this talk, fundamental performance analysis for continuous-time switched linear systems will be presented. We will extend the well-known spectral method from linear systems to switched linear systems, and reveal several interesting properties of the extended spectral abscissa. Computational issues are also addressed to approximate the spectral abscissa by means of the least matrix set measure approach.
documents
Documents
Currently, we do not have any document.