Dear All,
DEPARTMENT OF PHYSICS
INDIAN INSTITUTE OF SCIENCE
BANGALORE 560 012
Astrophysics Seminar
Speaker: Pratyush Pranav
Kapteyn Astronomical Institute, Groningen
The Netherlands
Title: PERSISTENT BETTI-TOPOLOGY OF THE COSMIC WEB ALPHASHAPES
Date & Time 13.1.2011 at 4.00 p.m.
Venue: Lecture Hall - I of Physics Department
Abstract:
We analyze the topology of Cosmic Web defined by the pervasive
anisotropic network of structures like clusters, filaments, walls and
voids, and characterized by an inherent multi-scale mass distribution.
For a discrete representation of the underlying mass distribution by
galaxies and dark matter halos, Alphashapes provide us the description
of the intuitive notion of shapes. Following their calculation we may
directly infer the Betti numbers, the prime parameters for quantifying
the tpology of the corresponding surface. In 3-D these represent the
number of independent components, loops and voids enclosed by the
corresponding manifold. In order to differentiate between significant
structure and topological noise, we introduce the concept of
persistence. We demonstrate the sensitivity and discrimination power of
this description with respect to different cosmologies. In the ongoing
work we extend this analysis to continuous surfaces such as that of the
CMB. It might provide a critical step towards constraining primordial
non-Gaussianity.
No comments:
Post a Comment