First I shall briefly review the results of the quantum soft graviton theorem derived from scattering amplitudes. Then I briefly discuss the classical limit of the soft graviton theorem to show how it is related to the long-wavelength gravitational waveform. Finally, I shall talk about the derivation of the classical soft graviton theorem in detail and how it is related to gravitational memory. I shall also address the following questions along with some observational signature:
How to derive all order soft theorem and gravitational memory systematically, and how much have we succeeded?
In which order of soft expansion spin and structure of the scattered objects start contributing?
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Recordings of past talks can be found here: www.youtube.com/channel/UCw9LdPQ5t7Q7muD0qzn70TA