2142a
Mini-Workshop: Three Facets of R-Matrices (hybrid meeting)
Report (363.5Kb)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.
Report
Workshop Report 2021,51Organizers
Sachin Gautam, Columbus; Andrey Smirnov, Chapel Hill; Curtis Wendlandt, Columbus; Masahito Yamazaki, KashiwaOberwolfach Photo Collection
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