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Title:
Stokes phenomena, Poisson-Lie groups and quantum groups
Speaker:
Abstract:
Let G be a complex reductive group, G* its dual Poisson-Lie group, and g the Lie algebra of G. G-valued Stokes phenomena were exploited by P. Boalch to linearise the Poisson structure on G*. I will explain how Ug-valued Stokes phenomena can be used to give a purely transcendental construction of the quantum group Uhg, in a way related to, but different from Kazhdan and Lusztig’s. I will also show that the semiclassical limit of this construction recovers Boalch’s. The latter result is joint work with Xiaomeng Xu, and based on https://arxiv.org/abs/2202.10298
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