[geometry-ml:03301] MS seminar at Kavli IPMU -- Simon Wood (Cardiff U) -- Tue, May 1, 2018

[Todor Milanov]

Dear all,

I would like to announce the following Mathematics and String theory seminar at Kavli IPMU

Speaker: Simon Wood	(Cardiff U)
Date:	Tue, May 01, 2018, 13:15 - 14:45
Place:	Seminar Room A

Title: Yang-Baxter equations and symmetric groups

Abstract: The Yang-Baxter equation is a cubic equation in a parameter 
dependent endomorphism R of the tensor square of some vector space V. If R is 
constant with respect to the parameter and invertible, then the Yang-Baxter 
equation is equivalent to the braid relations of the braid groups, thus 
defining a representation of the n-th braid group B_n on the n-th tensor power 
of V. If, in addition, R squares to 1, then the defining relations of the 
symmetric groups are satisfied and the n-th tensor power of V is furnished with 
a representation of the n-th symmetric group. While this is quite a drastic 
reduction of complexity from the most general form the of the Young-Baxter 
equation, the set of solutions exhibits a lot of interesting structure and up 
to a natural notion of equivalence all solutions can be classified.

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Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp