Understanding topological phases of matter lies at the frontier of both mathematics and physics: the relevant physical phenomena connect deeply to topological quantum field theory, noncommutative geometry, and the algebraic structure of C*-algebras. This conference, organized jointly by physicists and mathematicians, brings together experts in topological quantum matter, noncommutative geometry, and singularity theory to share recent developments and foster the dialogue between mathematics and physics that is essential for advancing our theoretical understanding of this rich area of research.

This conference will also be an opportunity to celebrate the 60th birthday and influential career of Markus Pflaum, whose broad body of work has impacted areas across mathematics and mathematical physics, from the analysis of stratified spaces, to deformation quantization of singular phases spaces, to the study of topological phases of matter.