Seminar talk, 5 October 2022: Difference between revisions
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| title = Category of braided sets, extensions and 2-analogues | | title = Category of braided sets, extensions and 2-analogues | ||
| abstract = A braided set is the same thing as a solution of the set-theoretic Yang-Baxter equation. It is important to rephrase this in a categorical language from the point of view of natural questions of morphisms, extensions and simple objects in this family. I will tell about several results in the problem of constructing extensions of braided sets and how this problem can be generalized to 2-braided categories, how to build extensions of sets with solutions of the Zamolodchikov tetrahedron equation. | | abstract = A braided set is the same thing as a solution of the set-theoretic Yang-Baxter equation. It is important to rephrase this in a categorical language from the point of view of natural questions of morphisms, extensions and simple objects in this family. I will tell about several results in the problem of constructing extensions of braided sets and how this problem can be generalized to 2-braided categories, how to build extensions of sets with solutions of the Zamolodchikov tetrahedron equation. | ||
| video = https://video.gdeq. | | video = https://video.gdeq.org/GDEq-zoom-seminar-20221005-Dmitry_Talalaev.mp4 | ||
| slides = | | slides = | ||
| references = | | references = | ||
| 79YY-MM-DD = 7977-89-94 | | 79YY-MM-DD = 7977-89-94 | ||
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Latest revision as of 08:40, 4 January 2025
Speaker: Dmitry Talalaev
Title: Category of braided sets, extensions and 2-analogues
Abstract:
A braided set is the same thing as a solution of the set-theoretic Yang-Baxter equation. It is important to rephrase this in a categorical language from the point of view of natural questions of morphisms, extensions and simple objects in this family. I will tell about several results in the problem of constructing extensions of braided sets and how this problem can be generalized to 2-braided categories, how to build extensions of sets with solutions of the Zamolodchikov tetrahedron equation.
Video