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David Jordan, University of Edinburgh
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Iordanis Romaidis , University of Edinburgh
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Iñaki García Etxebarria, University of Durham
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Mathew Bullimore, University of Durham
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Constantin Teleman, University of California, Berkeley
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Michele Del Zotto, Uppsala University
About:
The past decade has seen a remarkable evolution of the central notion of symmetry in mathematical physics. The new framework that has emerged encompasses not only symmetries captured by a discrete or continuous group, but also more general notions of symmetry encoded in more sophisticated mathematical structures such as higher groups and fusion categories and employs state of the art developments in topological quantum field theory (TQFT). This emerging viewpoint is known as "categorical symmetry" and has led to a paradigm shift in how researchers from disparate fields organise and classify quantum field theories.
The aim of this workshop was to bring together researchers from both physics -- in topological quantum field theory, high energy physics, and condensed matter -- and mathematics -- higher categories, representation theory, and topology -- to report on recent progress and open questions in the study of generalised notions of symmetry.
Schedule
Summer school: Monday 10 - Friday 14 June.
Workshop: Monday 17 - Friday 21 June.
*Please note the following programme is subject to change. For summer school porgramme please visit this webpage.
Programme
| MONDAY 17 JUNE 2024 | ||
| Registration and Refreshments | ||
| Welcome and Housekeeping | ||
| Andrea Grigoletto, Durham University | Unitarity and categorical symmetries | |
| Refreshments | ||
| Theo Johnson-Freyd, Dalhousie University and Perimeter Institute | Quantum homotopy groups | |
| Lunch | ||
| Francesco Benini, SISSA (Trieste) | Entanglement and symmetry breaking | |
| Refreshments | ||
| Tomer Schlank (online), Hebrew University of Jerusalem | Universal Target Category with $\pi$-finite EM-Duality | |
| Welcome Reception, hosted at ICMS | ||
| TUESDAY 18 JUNE 2024 | ||
| Yuya Tanizaki, Yukawa Institute for Theoretical Physics, Kyoto University | Wilson-‘t Hooft classification and gapped vacua of N=1* super YM from the view of 1-form symmetry | |
| Refreshments | ||
| Matthew Yu , University of Oxford |
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| Wenjie Ji, Caltech | Topological defects from bulk to boundary | |
| Lunch | ||
| Dave Penneys, The Ohio State University | Levin-Wen is a gauge theory | |
| Refreshments | ||
| Cris Negron, University of Southern California | Modularity for quantum groups at arbitrary roots of 1 | |
| WEDNESDAY 19 JUNE 2024 | ||
| Jenny Brown, University of Edinburgh | Quantizing the A-polynomial | |
| Break | ||
| T. Daniel Brennan, UC San Diego | Generalized Families of QFTs | |
| Noah Snyder, Indiana University | Interpolation Categories for Conformal Embeddings | |
| Lunch and Free Afternoon | ||
| THURSDAY 20 JUNE 2024 | ||
| Federico Bonetti, Durham University | 3d Topological Orders Labeled by Seifert Manifolds | |
| Refreshments | ||
| Ilka Brunner, LMU München | Truncated Affine Rozansky Witten models as extended TQFT | |
| Po-Shen Hsin, UCLA |
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| Lunch | ||
| Ingo Runkel, University of Hamburg | Defects in three-dimensional topological field theory | |
| Refreshments | ||
| Max Metlinski, MIT | Spin impurities in Fermi and Bose systems | |
| Workshop Dinner | ||
| FRIDAY 21 JUNE 2024 | ||
| Brian Williams, Boston University | The higher Segal—Sugawara construction | |
| Refreshments | ||
| Yunqin Zheng, YITP, Stony Brook | Non-invertible symmetries and SPT phases in 2+1d lattice models | |
| Lunch and End of Workshop |