Higher Structures Lisbon (deformation theory, operads, higher categories developments & applications)

Instituto Superior Técnico, Lisbon, 24-27 July 2017

The aim of this meeting is to stimulate interaction between people, who are working in higher structures interpreted in the broad sense (to mean higher stacks, $L_\infty$- and $A_\infty$-algebras, Batalin–Vilkovisky algebras, higher category theory, operad theory and related areas). Such flavours of higher structures have appeared in

• differential geometry (non-abelian and higher gerbes),
• rational homotopy theory,
• algebraic topology (string structures, extended topological quantum field theories),
• persistent homology,

and have found a number of applications in mathematical physics, such as

• higher gauge theory,
• topological quantum field theory, possibly with defects,
• homological methods in quantum field theory,
• strings and branes,
• topological phases of matter,

among others.