Quantum geometry has led to the prediction of new phases of matter while also clarifying the meaning of experimental observations in a wide range of materials. This conference seeks to strengthen connections between experimental reality and geometrical theories of quantum many-body systems. Here we use "quantum geometry" to include not just gauge structures within the Brillouin zone of a perfect crystal but also real-space effects and the geometry of many-body Hilbert spaces. Experimental platforms realizing quantum-geometrical effects include materials as diverse as magnetic metals and van der Waals heterostructures, as well as atomic and optically driven systems. The advent of reasonably large quantum computers also offers a new domain for quantum geometry. Mathematical structures that were first applied in high-energy physics, such as the Chern-Simons form, have turned out to be fundamental in the description of even ``old'' condensed matter properties such as the magnetoelectric effect of crystals. We intend for this conference to provide a snapshot of where the field currently stands and contribute to developing similar connections across physics.