The conference is organized by the International Center for Mathematical Sciences (ICMS-Sofia) at the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences, the International School for Advanced Studies (SISSA), Trieste, the American University in Bulgaria (AUBG) and the Institute of the Mathematical Sciences of the Americas (IMSA) with financial support from the Simons Foundation, the Bulgarian Ministry of Education and Science, SISSA and AUBG. The workshop is the 20th installment of a sequence of conferences and schools, organized since 1996. It aims to bring together leading experts and early-career researchers working on various aspects of the geometry and physics of Higgs bundle moduli, non-abelian Hodge theory, symplectic geometry and related fields like integrable systems, deformation theory and derived geometry.