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.



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