This talk will explain and put in perspective recent reports of microbes that may use arsenic instead of phosphorus in their DNA.
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The Fuchsian method applies to certain classes of singular wave equations. Under certain conditions, it allows us to construct solutions with a prescribed singular behavior and gives rise to a well-defined notion of a “singular initial value problem”. In this talk, I recall the Fuchsian method and a new numerical approximation scheme which was introduced by P. LeFloch (Paris) and myself. Then I discuss our current results about applying the method to general relativity.

I will provide an update to the ITS seminar I gave a year ago on the status and prospects for the LIGO project. This time I will focus on several emerging areas of gravitational-wave (GW) observations:
current status of LIGO; multi-messenger astronomy with GW observations; the coming (quantum-limited) advanced detectors; and prospects for GW astronomy with advanced detectors.