Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology
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2025
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| author | Andrade, Diogo Bierent, Julia Brown, Jennifer Caba, Tudor Cellot, Matthew Davies, Jonathan Meunier, Adrien DeLazzer Gröne, Jannik Haïoun, Benjamin Hofstetter, Alea Johnson-Freyd, Theo Jordan, David Kammermeier, Tessa Kinnear, Patrick Krulewski, Cameron Lagiotis, Theodoros Liu, Leon Salvador, Adrià Marín Nivedita Reutter, David Riva, Lorenzo Romaidis, Iordanis Romo, Jack Sanford, Sean Tagaris, Michail Teixeira, Daniel van Dyke, Jackson Vancraeynest, Matthias Vuppulury, Chetan Yu, Matthew Zetto, Markus |
| author_facet | Andrade, Diogo Bierent, Julia Brown, Jennifer Caba, Tudor Cellot, Matthew Davies, Jonathan Meunier, Adrien DeLazzer Gröne, Jannik Haïoun, Benjamin Hofstetter, Alea Johnson-Freyd, Theo Jordan, David Kammermeier, Tessa Kinnear, Patrick Krulewski, Cameron Lagiotis, Theodoros Liu, Leon Salvador, Adrià Marín Nivedita Reutter, David Riva, Lorenzo Romaidis, Iordanis Romo, Jack Sanford, Sean Tagaris, Michail Teixeira, Daniel van Dyke, Jackson Vancraeynest, Matthias Vuppulury, Chetan Yu, Matthew Zetto, Markus |
| contents | These lecture notes are the product of a week-long learning workshop on the work of Johnson-Freyd and Reutter on the problem of the existence of minimal nondegenerate extensions of braided fusion categories (arXiv:2105.15167). They recount the mathematical arguments of the original paper from an expository angle, with background material covering the algebra and homotopy theory required to understand the statement and follow the proof. The notes are aimed at newcomers to the field of (braided) fusion 1- and 2-categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10636 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology Andrade, Diogo Bierent, Julia Brown, Jennifer Caba, Tudor Cellot, Matthew Davies, Jonathan Meunier, Adrien DeLazzer Gröne, Jannik Haïoun, Benjamin Hofstetter, Alea Johnson-Freyd, Theo Jordan, David Kammermeier, Tessa Kinnear, Patrick Krulewski, Cameron Lagiotis, Theodoros Liu, Leon Salvador, Adrià Marín Nivedita Reutter, David Riva, Lorenzo Romaidis, Iordanis Romo, Jack Sanford, Sean Tagaris, Michail Teixeira, Daniel van Dyke, Jackson Vancraeynest, Matthias Vuppulury, Chetan Yu, Matthew Zetto, Markus Quantum Algebra Category Theory Representation Theory 18M20, 18M15, 18N10 These lecture notes are the product of a week-long learning workshop on the work of Johnson-Freyd and Reutter on the problem of the existence of minimal nondegenerate extensions of braided fusion categories (arXiv:2105.15167). They recount the mathematical arguments of the original paper from an expository angle, with background material covering the algebra and homotopy theory required to understand the statement and follow the proof. The notes are aimed at newcomers to the field of (braided) fusion 1- and 2-categories. |
| title | Higher tensor categories and their extensions: notes from the Scottish Talbot On Algebra and Topology |
| topic | Quantum Algebra Category Theory Representation Theory 18M20, 18M15, 18N10 |
| url | https://arxiv.org/abs/2509.10636 |