Abstract
Abstract Future measurements of the polarization of the cosmic microwave background (CMB) are very powerful tools for cosmological studies and may help in extracting cosmological parameters from the observational data. In particular, the polarization is quite sensitive to the presence of primordial gravitational waves. In this talk we analyse the geometrical and statistical properties of the polarization of the CMB. This analysis was performed in our recent work. Singular points of the vector field which describes CMB polarization are found and classified. A possible signature of primordial gravitational waves in CMB polarization is discussed. We also discuss some other new methods of analysis of CMB anisotropy and polarization.
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