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CHIME is a new interferometric telescope at radio frequencies 400-800 MHz. The mapping speed (or total statistical power) of CHIME is among the largest of any radio telescope in the world, and the technology powering CHIME could be used to build telescopes which are orders of magnitude more powerful. Recently during precommissioning, CHIME started finding new fast radio bursts (FRB's) at an unprecedented rate, including a new repeating FRB.Understanding the origin of fast radio bursts is a central unsolved problem in astrophysics, and we anticipate that CHIME's statistical power will play an important role in solving it. In this talk, I'll give a status update on CHIME, with emphasis on FRB's.

FRBs are the only known sources of extragalactic coherent radiation, that show interference phenomena after traveling over cosmological distances. The interferometric probe allows equivalent strain measurements of $h\sim 10^{-26}$, opening new windows for gravitational wave detection, dark matter properties, and emission physics. I describe new directions, theoretical and observational tools, and current and future experiments.

I will show how to derive new positivity bounds for scattering amplitudes in theories with a massless graviton in the spectrum in four spacetime dimensions. The bounds imply that extremal black holes are self-repulsive, M/|Q|<1 once higher dimensional operators are taken into account, and that they are unstable to decay to smaller extremal black holes, hence providing an S-matrix proof of the weak gravity conjecture.

The discovery of gravitational waves from a binary black hole merger in 2015 opened up a new window to study the Universe, including the origin of black holes, the nature of dark matter, and the expansion history of the Universe. However, gravitational waves emitted from binary mergers propagate through the inhomogeneous Universe, which can have a considerable impact on observations of gravitational waves, in good or bad ways. I will highlight some examples of the effects of the inhomogeneity on gravitational wave observations, including their possible applications and implications.