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

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Discrete Integrable Systems

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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