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This small workshop is dedicated to revisiting Dijkgraaf-Witten Topological Quantum Field Theory (TQFT), with a focused look at some of its foundational concepts, including the underpinning tensor categories. We will also discuss different perspectives, generalizations, future directions and applications, of Dijkgraaf-Witten Theory, including::

• Extended Dijkgraaf-Witten TQFTs
• Defect Dijkgraaf-Witten TQFTs
• Homotopy $n$-type extended TQFT
• Homotopy Quantum Field Theories.

A primary focus will be placed on the implementation of these theories in Topological Quantum Computation (TQC) models.

The workshop Dijkgraaf-Witten Theory, Tensor Categories, and Applications will be organised around research talks and discussion sessions led by:

• Christoph Schweigert (Hamburg) Boundary conditions for 2-dimensional Dijkgraaf-Witten Theory.
• Peter Huston (Leeds). ¿What is so special about groups?

Everyone is welcome.

If you would like to participate, please do contact the organisers as soon as possible. Funding is limited.

Local Organisers:

• Peter Huston (Leeds)
• Joao Faria Martins (Leeds)
• Paul Martin (Leeds)
• Benjamin Morris (Leeds)

This workshop is part of the Collaboration Grant, Mathematics and Implementation of Quantum Computing, between the University of Leeds and the University of Hamburg. Additional support is provided through the EPSRC grant EP/W007509/1 "Combinatorial Representation Theory: Discovering the Interfaces of Algebra with Geometry and Topology."