Over the past two decades significant advances in materials synthesis at the nanoscale and recent progress in novel characterization techniques have led to the emergence of a class of materials in which topology (i.e. arbitrary deformations do not alter the global connectivity) plays a prominent role in terms of their functionalities. These materials are ubiquitous and range from (i) various nanoscale allotropes of carbon such as nanotubes, nanorings, nanohorns, peapods, etc. (ii) metallo-organic frameworks, (iii) helical gold nanotubes (iv) Mobius conjugated polymers (v) block co-polymers, (vi) supramolecular assemblies to (vii) a variety of biological and soft-matter systems, e.g. foams and cellular materials, vesicles of different shape and genus, biomimetic membranes, filaments as well as (viii) network structures. Concurrently, topological database and algorithms to model such materials have been established. In order to understand and properly characterize these important materials one must go significantly beyond the traditional paradigm of microscopic structure-property correlation to a paradigm which explicitly incorporates topological aspects from the beginning in characterizing and/or predicting the physical properties and currently untapped functionalities of these materials.
The main objective of this symposium is therefore to foster this transformative change in our view of nanomaterials with an emphasis on topological metrology. To this end, invited speakers with the expertise in both topology as well as materials science who could provide a tutorial level exposition to the subject to the broader materials science community have been invited. After the conclusion of the symposium, both early career and advanced researchers will be motivated to pursue the new research threads unraveled at the symposium.