HSL2017 - Higher Structures Lisbon

Deformation theory, operads, higher categories developments & applications

Instituto Superior Técnico, Lisboa

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-infinity- and A-infinity-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.

GFM - Grupo de Física Matemática / CAMGSD - Centro de Análise Matemática, Geometria e Sistemas Dinâmicos / CMA - Centro de Matemática e Aplicações