Geometric/Topological Quantum Field Theories and Cobordisms Conference

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.

Quantum Field Theories and Cobordisms

Day 1 - March 15, 2023

Universal construction, foams and link homology (part A)

Mikhail Khovanov 
(Columbia University)

Symmetry breaking and homotopy types for link homologies.

Speaker: Nitu Kitchloo (Johns Hopkins University)


Machine learning and hard problems in topology

Speaker: Sergei Gukov (DIAS, Dublin and Caltech)


Title: Extended defect TQFTs

Speaker: Nils Carqueville 
(University of Vienna)

Twisted string bordism and a potential anomaly in $E_8 \times E_8$ heterotic string theory

Speaker: Arun Debray (Purdue University)


Non-semisimple TFT and U(1,1) Chern-Simons theory

Speaker: Matthew Young (Utah State University)


Day 2 - March 16, 2023

Universal construction, foams and link homology (part B)

Mikhail Khovanov 
(Columbia University)

Correspondence between automata and one-dimensional Boolean topological theories and TQFTs

Speaker: Mee Seong Im (United States Naval Academy)


Quantum field theories on Lorentzian manifolds

Speaker: Alexander Schenkel (University of Nottingham)

The stringor bundle

Speaker: Konrad Waldorf (University of Greifswald)


String bordism invariants in dimension 3 from U(1)-valued TQFTs

Speaker: Domenico Fiorenza (Sapienza University of Rome)


Day 3 - March 17, 2023

Universal construction, foams and link homology (part C)

Mikhail Khovanov 
(Columbia University)

Heisenberg homologies of surface configurations

Christian Blanchet (University of Paris)

Quasi-alternating links, Examples and obstructions

Speaker: Nafaa Chbili (United Arab Emirates University)


On the Finiteness of Quasi-alternating Links

Speaker: Khaled Qazaqzeh (Kuwait University)


Deformation classes of invertible field theories and the Freed--Hopkins conjecture

Speaker: Daniel Grady (Wichita State University)


The geometric cobordism hypothesis

Speaker: Dmitri Pavlov (Texas Tech University)


How do field theories detect the torsion in topological modular forms?

Speaker: Daniel Berwick-Evans (University of Illinois Urbana-Champaign)


Day 4 - March 18, 2023

String-net methods for CFT correlators

Speaker: Christoph Schweigert (Hamburg University)


On algebraisation of low-dimensional Topology

Speaker: Anna Beliakova (University of Zurich)


Weight systems which are quantum states

Speaker: Carlo Collari (University of Pisa)


Nullifying Cobordism in Quantum Gravity

Speaker: Ralph Blumenhagen (Max-Planck-Institute for Physics, Munich)


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)