Towards Imaging the Event Horizon in the Galactic Center Black holes are theoretical predictions of Einstein’s General Theory of Relativity, where large amounts of matter are concentrated so much that even light cannot escape its gravitational attraction. Thus, black holes mark singularities in space and time, which are surrounded by an event horizon that allows matter and light to go inwards but never go out again. However, do these supermassive black holes and their event horizons really exist? The best place to answer this question is in the center of our own Milky Way. Here a compact radio source, Sgr A*, with a mass of 4 Million times the mass of the sun, seems to mark the central black hole of our Galaxy, providing by the far the best evidence for the existence of black holes in general. The nature of the emission process is still under debate, but numerical magnetohydrodynamic simulations and semi-analytic models seem to converge towards a combined jet-disk model producing radiation from radio to X-rays. Interestingly, radio interferometry and timing observations are now probing the smallest scales of this object, directly confirming that the high-frequency radio emission indeed comes from event-horizon scales. This will allow one to study basic astrophysical processes such as jet formation and accretion physics. Using future mm-VLBI experiments, involving, e.g., ALMA, it should be possible to even image the elusive event horizon of a black hole for the very first time. This “Event Horizon Telescope” would not only provide firm evidence for the existence of black holes, but would also test basic predictions of General Relativity such as the no hair theorem and variants of GR, making Sgr A* a fundamental laboratory for precision black hole astrophysics.