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.
Universal construction, foams and link homology (part A)
Symmetry breaking and homotopy types for link homologies.
Speaker: Nitu Kitchloo (Johns Hopkins University)
Twisted string bordism and a potential anomaly in $E_8 \times E_8$ heterotic string theory
Speaker: Arun Debray (Purdue University)
Universal construction, foams and link homology (part B)
Universal construction, foams and link homology (part C)
How do field theories detect the torsion in topological modular forms?
Speaker: Daniel Berwick-Evans (University of Illinois Urbana-Champaign)
On algebraisation of low-dimensional Topology
Speaker: Anna Beliakova (University of Zurich)
Weight systems which are quantum states
Speaker: Carlo Collari (University of Pisa)
Cobordism in Quantum M-Theory 1: M/F-Theory as Mf-Theory
Speaker: Hisham Sati (NYU Abu Dhabi)
Cobordism in Quantum M-Theory 2: Topological Quantum Gates in HoTT
Speaker: Urs Schreiber (NYU Abu Dhabi)