This worskhop wants to provide an international forum for discussion and presentation of some of the most recent advances in applications of geometric and topological methods in various fields of modern mathematical physics. Particular emphasis will be put on applications of technicques from knot theory and low dimensional topology to understand physical aspects of knotted fields and complex systems. Focus will be put on the study of kinetic and magnetic helicity, role of geometric and topological phases, minimal surfaces, energy-complexity relations and topological change due to reconnection mechanisms in physical and biological systems, topological cascade and energy relaxation in dynamical systems. Applications will range from vortex dynamics, magnetohydrodynamics and superfluids to geometric optics, defect dynamics, string theory and DNA topology, with the aim to present the most updated results in rapidly growing fields that are at the forefront of current research in topological field theory.
The Workshop will host keynote lectures by renowned experts in the field, and several oral contributions from young researchers. The scientific programme will include 33 presentations given in person, and 5 given virtually by remote connections from USA, Russia and China.
