This conference will bring together leading researchers from Australia and abroad working on different aspects of analysis on manifolds and more general geometric spaces. The meeting will include a variety of topics, such as partial differential equations, curvature flows, spectral theory, index theory and non-commutative geometry. A guiding motivation at will be applications to topology, geometry and physics, and talks will highlight applications of analytic techniques to problems in these areas. This way, the organisers aim to inspire research on new bridges between different areas of analysis, geometry, topology and physics, to foster collaboration between researchers in these fields, and to inspire the next generation of mathematicians.