The detailed definition and construction of nonperturbative quantum field theory still remains one of the outstanding major problems in mathematical and theoretical physics. However, there has been a lot of progress on geometric and topological approaches to this problem via functorial field theories.
These come with interesting connections to other areas of mathematics and mathematical physics, including knot theory, tensor categories, low-dimensional topology, and structures arising in conformal field theory.
The goal of this meeting is to bring together experts in these areas to discuss recent developments and make progress towards the above big question.