Browsing by Author "Wendlandt, Curtis"

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    Mini-Workshop: Three Facets of R-Matrices (hybrid meeting)
    (Zürich : EMS Publ. House, 2021) Smirnov, Andrey; Wendlandt, Curtis; Yamazaki, Masahito
    By definition, an $R$-matrix with spectral parameter is a solution to the Yang-Baxter equation, introduced in the 1970's by C.N. Yang and R.J. Baxter. Such a matrix encodes the Boltzmann weights of a lattice model of statistical mechanics, and the Yang-Baxter equation appears naturally as a sufficient condition for its solvability. In the last decade, several mathematical and physical theories have led to seemingly different constructions of $R$-matrices. The theme of this workshop was the interaction of three such approaches, each of which has independently proven to be valuable: the geometric, analytic and gauge-theoretic constructions of $R$-matrices. Its aim was to bring together leading experts and researchers from each school of thought, whose recent works have given novel interpretations to this nearly classical topic.
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    On a Conjecture of Khoroshkin and Tolstoy
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2022) Appel, Andrea; Gautam, Sachin; Wendlandt, Curtis
    We prove a no-go theorem on the factorization of the lower triangular part in the Gaussian decomposition of the Yangian's universal R-matrix, yielding a negative answer to a conjecture of Khoroshkin and Tolstoy from [Lett. Math. Phys. vol. 36 1996].