Higher Structures, Gravity and Fields

We organise a 3-week programme bringing together theoretical physicists and mathematicians working in the areas of gravity, dualities, extended geometry, field theory, higher homotopy structures, and other infinite-dimensional superalgebras. The overarching goal is to make progress in constructing “exotic” field theories, where conventional notions of spacetime break down, and thus traditional methods fail. These include exotic forms of gravity, extended (double and exceptional) geometry, string/M-theory and its dualities, and higher spin theories. The common feature of these theories is the appearance of higher symmetry algebras, generalising the notion of Lie algebras. In this programme, we will bring physicists and mathematicians together working on these “higher structures” in order to better understand the fundamental structures of physical theories and develop a bootstrap based on higher structures.