Title:

  Parity symmetries in the power spectra of tensor fields in the
  large-scale structure

  Abstact:

  Some selected topics and results from my latest series of papers on
  the integrated perturbation theory for cosmological tensor fields
  will be presented (papers I-IV). The formalism is constructed on the
  basis of irreducible decomposition of tensors of any rank,
  identifying physical variables which are invariant under the
  rotation of coordinates system. Symmetic properties in the projected
  tensor fields, such as rotation, parity, flipping, and complex
  conjugate, are made explicit. In this talk, I will focus on the
  parity symmetries in observable tensor fields.