Topology in Digital Sound Synthesis

Explore the intersection of topology and digital sound synthesis in this 54-minute talk by Georg Essl. Delve into the development of topological concepts within computational audio generation, examining oscillatory algorithm topology and deformation, transport simulations of the 1-D wave equation, and the challenges of extending these concepts to 2-D scenarios. Discover how sheaves enable the application of classical linear time-invariant filter theory to simplicial topologies, and learn about their potential for non-linear oscillatory techniques. Gain insights into the cutting-edge research bridging abstract mathematics and practical audio engineering in this presentation from the Applied Algebraic Topology Network.