| Cosmology: Dr. Ned Wright's colosmology tutorial: link 
Basic concepts:  
  |  | dark matter (Wiki) |  |  | dark energy (Wiki) |  |  | An web version of the ARA&A review on baryonic
    dark matter (here). |  |  | Lambda cold dark matter model (Lambda_CDM,
    see Wiki), the
    standard model of cosmology. |  |  | The time line of the cosmology evolution
    according to Big Bang theory (from Wiki): Zero time: The Augustinian era ==> String theory epoch ==> 10-43s:
    The Planck epoch ==> 10-35s: The grand unification epoch
    ==> 10-32s: The inflationary epoch ==> 10-12s:
    The electroweak epoch ==> 10-6s: The quark epoch ==> 
    1s: The hadron epoch ==> 3s: The lepton epoch ==> 380,000 years: The
    photon epoch (matter domination: 70,000 yrs; Recombination 380,000yrs)
    ==> The dark ages ==> structure formation ==> Reionization ==>
    Formation of Stars ==> 500,000,000 yrs: Formation of galaxies ==>
    Formation of groups, clusters and superclusters ==> 8 billion years:
    Formation of our solar system ==> 13.7 billion year: today.
 |  |  | 13.7+-2 billion years ago: Big Bang ==> z=1100, Recombination ();
    z=10~6, Reionization; |  |  | List of particles: elementary fermions (quarks and leptons and their anti-particles) and
 elementary bosons (photon, W, Z, Gluon, Graviton, Higgs)
    and
 hypothetical particals
 ==> composite particles: hadrons (baryons and mesons)
 ==> neuclei
 ==> atoms
 ==> molecules
 ==> 	condensed matter
 ==> other particles.
 (See the original Wiki page here)
 |  |  |  |    
  |  | Weak lensing and dark matter(DM). (from Kiichi Umetsu's lunch talk on 9
    March, 2007 at ASIAA) 
      |  | Weak and strong lensing: Radiation from a
        distant galaxy can be lensed by the gravitational field of a nearer
        galaxy cluster when the two overlap  along the line of
        sight. The lensing forms several images of the distant galaxy around the lensing galaxy
        cluster. Theoretically, a normal galaxy cluster lense will produce 5
        images of the lensed distant galaxy. If the distant galaxy is shifted a
        little away from the lense center, the position, intensity,
        and shape of the 5 images will change and several images tend merge with
        each other. When the distant galaxy is shifted far enough away from the
        lense center, only one image can be seen (at the
        same side of the distant galaxy).  It's called Weak
        Gravatational Lensing (WGL) when only one image of the distant
        galaxy can be seen, otherwise, it's called Strong Gravatational Lensing (SGL).  (Following figures from left to right: strong,
        intermediate and weak lensing.) 
       |  |  | Examples of gravitational lensing: 
          |  | Abell 1689: red shift Z = 0.183,
            distance = 550 kpc, the strongest lensing cluster known to date. |  |  | Abell 2218: an example of weak
            lensing. |  |  |  | weak shear: If we assume the lensed image is an
        ellipse, the major and minor axis a and b define an ellipticity r =
        (a-b)/(a+b). One can define the ellipticity in two different coordinate
        systems so as to
        describe both the shape and orientation of the elliptical lensed image,
        say, r1 and r2. Then, we have a shear matrix ((r1,r2),(r2,r1)) that fully
        describes the geometry of the lensed image. |  |  | Dark matter: It's said that the universe is composed of 74% of dark energy (DE), 22% of dark matter
        (DM), and only 4% of baryons. It's still not clear what DM is. DM might be
        the so called weak interaction massive particals (WIMPs), such as
        Neutralino. DM can be divided into two classes: hot dark matter (HDM)
        and cold dark matter (CDM). People argue that, based on some
        simulations, HDM is not the major component of our Universe, because the
        observed power spectral (power versus spatial wavelength) of galaxies
        and CMB don't agree with HDM model. Therefore, only CDM model is favorable. |  |  |  | Multi-resolution analysis (MRA)  of
    computational cosmology. (from the colloquium talk by Prof. Long-Long Feng
    on May 30, 2007 at ASIAA) 
      |  | decomposite the n point correlation function onto a serial of complete
        and orthogonal base functions with different resolutions. |  |  |  | Relationship between dark matter and galaxies. (From the
    colloquium talk by Dr. Houjun Mo on May 30, 2007 at ASIAA) |  |  | Whether dark matter affect the energy level structure or populatioin of normal matter? If yes, how can we observe the
    effects through radiation? |  |  | Torsion cosmology and the oscillating universe
    (from colloquium talk by Dr. James Nester at ASIAA on Sep. 21, 2007) Geometry of the space includes two aspects: metric and connection.
    Metric of the universe is related to mass that
    produces curvature to the space; connection of
    the universe is related to spin that causes torsion to the space. Torsion of a space can be
    imagined as such: When a reference frame in a space with torsion translate
    for a distance, the direction of the reference frame will rotate. Although
    an oscillating universe usually means the recurrence of Big Bang and Big
    Crunch, in this talk another kind of oscillating
    universe in which the torsion oscillates periodically while the whole
    universe keeps homogeneous and isotropic was shown to be possible in their
    simple model. In another word, the universe could be periodically twisting
    itself. This possibility gives a new view of the currently accelerating
    universe, without the help of the Einstein constant Lambda in the equation
    of cosmology.
 |  |  | Detection of integrated Sachs-Wolfe effect by
    cross-correlation of the CMB and radio galaxies. (from the lunch talk
    given by Dr. Guo-Chin, Liu at ASIAA on Sep. 17, 2007) Sachs [sa:hs] - Wolfe effect is caused by scattering in galaxies after the
    recombination stage of the early universe. Polarization
    component of the CMB images are found to be
    correlated with radio galaxy distributions. Such correlation allows the
    separation of the Sachs-Wolfe contribution out of the CMB.
 |  |  | The Quadrupole Power Spectrum for the SDSS Liminous Red
    Galaxies. (from the lunch talk by Dr. Hiroaki Nishioka at ASIAA on
    Jan. 7, 2008) 
      |  | When
        converting redshift into radial distance, the effect of peculiar
        velocity of galaxies will cause distorsion to the 3D distribution of the
        galaxies. There are two related particular effects related to galaxy
        clusters: Alcock-Paczynski effect and finger-of-god effect. A galaxy
        cluster is usually collapsing due to gravity force. At larger scale,
        e.g., the outer skirt of the cluster, the infalling velocity of the
        galaxies will result in a overestimate of distance at the near side of
        the cluster and a underestimate of distance at the far side of the
        cluster, which will result in over estimate of galaxy number density in
        the cluster (Alcock-Paczynski effect). At
        smaller scale, e.g., near the center of a galaxy cluster, the infalling
        velocity is so large and so the overestimate and underestimate of the
        galaxy distance is so large that the far side galaxies will be
        mis-placed to near side of the cluster and the near side galaxies will
        be mis-placed to the far side (finger-of-god
        effect). |  |  | Both
        the Alcock-Paczynski and finger-of-god effects only affect the radial
        distribution of galaxies when radial distance is calculated from
        redshift. Therefore, with the 3D Cartesian coordinate (X, Y, Z, with Z
        along the line of sight), the power spectrum along Z axis is distorted
        by the above effects while it remains the intact in both X and Y
        directions. In this case, the 3D power spectrum P(k_x, k_y, k_z)
        collapses into a 2D power spectrum P(k_z,mu) where mu is the cosine of
        the angle of the considered direction w.r.t. Z axis, the line-of-sight.
        This dependence of power spectrum on direction cosine mu can be
        decomposed into different multipole components: monopole, dipole,
        quadrupole, ... Among the multipole components, the
        quadrupole component is the best one to reflect the Alcock-Paczynski and
        finger-of-god effects. This quadrupole component of the power
        spectrum is named quadrupole power spectrum.
        Now, quadrupole power spectrum has been constructed from the 3D
        distribution of liuminous red galaxies in SDSS database using galaxy
        number density. It was found that the quadrupole power spectrum changes with redshift,
        which may indicate the time variation of galaxy distributions during the
        evolution of the cosmos. |  |  | 
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