Toric Gromov-Witten Theory and Integrable Hierarchies

Andrea Brini (Imperial College)

Tuesday 15th January, 2013 15:00-16:00 Maths 416


An influential conjecture of Witten (1990) suggests the existence of a remarkable connection between generating functions of Gromov-Witten invariants and tau functions of classical integrable hierarchies; however, concrete instances of this correspondence have proved to be hard to find and describe in detail.

In this talk I will report on recent progress in the construction of new classes of examples of the Gromov-Witten/Integrable Systems correspondence which appear in the context of the Gromov-Witten theory of toric Calabi-Yau threefolds. I will also discuss implications for (and applications to) each side of the correspondence.

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