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SEMINARS

Cohomological geometry of differential equations
October 5, 2022 19:20, Moscow, Independent University of Moscow, room 303, for Zoom access please contact seminar@gdeq.org


Category of braided sets, extensions and 2-analogues

D. V. Talalaev



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.

Language: English


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