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.
Day 1 - March 15, 2023
Universal construction, foams and link homology (part A)
Speaker:
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)
Speaker:
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)
Speaker:
Mikhail Khovanov
(Columbia University)
Heisenberg homologies of surface configurations
Speaker:
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)