R-matrix Quantization of the Ruijsenaars-Schneider Models - a podcast by Michael Haack

I describe an algebraic scheme for quantizing the Ruijsenaars-Schneider
models in the R-matrix formalism. It is based on a special parametrizationof the cotangent bundle over GL(n,C). In new variables
the standard symplectic structure is described by a classical (Frobenius)r-matrix and by a new dynamical r¯-matrix. Quantizing these
r-matrices, I will exhibit the quantum L-operator algebra and constructits particular representation corresponding to the RuijsenaarsSchneider
system. I will also indicate a couple of open problems.

Further episodes of Sommerfeld Theory Colloquium (ASC)

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Website of Michael Haack