2142a
Mini-Workshop: Three Facets of R-Matrices (hybrid meeting)
Workshop
2142aPeriod
17 Oct - 23 Oct 2021Abstract
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.