Higher Structures in Quantum Field Theory (26w5540)

The Institute for Advanced Study in Mathematics will host the "Higher Structures in Quantum Field Theory" workshop in Hangzhou, China from September 13 to September 18, 2026.

The mathematical formulation of Quantum Field Theory (QFT) remains one of the most profound challenges in modern theoretical physics and mathematics. This workshop will bring together leading experts from both disciplines to explore the foundational aspects of topological and holomorphic quantum field theories, areas that have emerged as pivotal in advancing our understanding of QFT. Recent developments highlight the critical role of higher structures derived from category theory, algebraic topology, and vertex operator algebras. By integrating these sophisticated mathematical frameworks with the physical phenomena they aim to describe, the workshop seeks to pioneer new approaches that enhance both the understanding and scope of QFT.

Participants will engage with cutting-edge developments in topological and holomorphic field theories, examining how these approaches preserve essential physical properties while uncovering novel mathematical structures. The workshop will feature in-depth discussions on transformative concepts such as extended topological field theory (TFT), factorization homology, twisted holography, and higher-category theory. Additionally, explorations of higher-form and non-invertible symmetries, SymTFT, and the categorical Landau paradigm in physics will be central to the agenda. By fostering interdisciplinary collaboration, this workshop aims to push the boundaries of mathematical QFT formulation, enhance the synergy between mathematics and physics, and set the stage for future groundbreaking discoveries.

The Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF) and Alberta Technology and Innovation.