Explore the fascinating realm of arithmetic quantum unique ergodicity for hyperbolic manifolds in this 21-minute conference talk by Zvi Shem-Tov, a postdoctoral member at the Institute for Advanced Study. Delve into the intricate connections between quantum mechanics, ergodic theory, and hyperbolic geometry as Shem-Tov presents his research findings and insights. Gain a deeper understanding of how quantum states behave on arithmetic hyperbolic manifolds and the implications for quantum chaos and number theory. This talk, part of the "Short Talks by Postdoctoral Members" series, offers a concise yet comprehensive overview of cutting-edge research in mathematical physics and geometry.