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Dimers, crystals and quantum Kostka numbers

Christian Korff (University of Glasgow)
Wednesday 15 March 2023 14:15–15:15 Koll. G (1532-214)
Mathematics Seminar

This talk will explain a combinatorial connection between exact matchings of the honeycomb (dimers), certain directed coloured graphs appearing in the representation theory of quantum groups (crystals) and the multiplication of a Schubert class by a Chern class of the tautological or quotient bundle in the small quantum cohomology ring of Grassmannians. The motivation of these combinatorial connections is the problem of finding a combinatorial/rep theoretic description of Gromov-Witten invariants.

Organised by: AarHomAlg
Contact: Karin M. Jacobsen Revised: 25.05.2023