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Confluent KZ equation of sl(N) with Poincar\'e rank 2

Thursday 26th March 2009 - 15:30 to 16:30
Center for Mathematical Sciences
For the Lie algebra sl(N), we give irregular singular version of KZ equations. Solutions to these equations are integral formulas of confluent hyper geometric functions. Hamiltonians are quantization of dlog tau by Jimbo-Miwa-Ueno in their paper on monodromy preserving deformation. We also show that this confluent KZ equation is quantization of corresponding isomonodromy deformation with Poincar\'e rank 2 at infinity.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons