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The GRAVITY instrument at the VLT offers an unprecedented view of the region around the supermassive black hole at the center of the Milky Way. These observations have enabled precise measurements of stellar orbits around the black hole, including detection of the gravitational redshift in the spectrum of the star S2. Moreover, this new level of astrometric precision has allowed for the measurement of orbital motion of accreting material on scales of a few Schwarzschild radii outside of the black hole.  I will discuss the results of the GRAVITY observations of the galactic center, current and future tests of General Relativity, as well as models and implications for the accretion processes at scales close to the event horizon of the black hole.

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