Cylindric Hecke characters & Gromov-Witten invariants

Christian Korff (University of Glasgow)

Tuesday 4th February, 2020 16:00-17:00 Maths 311B


I will define a set of virtual Hecke characters, called cylindric, in terms of the six-vertex model in statistical mechanics. These characters, via their associated modules, span a positive sub-coalgebra in the Grothendieck ring of finite-dimn’l modules of the Hecke algebra. Positive in this context means, that their expansion under the restriction functor gives non-negative integer multiplicities, the Gromov-Witten invariants of the Grassmannians. This is going to be a combinatorial not a geometric talk.

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