Princeton/IAS Symplectic Geometry Seminar | |

Topic: | Moduli of marked disks, open KdV and Virasoro |

Speaker: | Jake Solomon |

Affiliation: | Hebrew University |

Date: | Friday, March 14 |

Time/Room: | 2:30pm - 3:30pm/Fine 322, Princeton University |

Witten conjectured a relationship between intersection theory on the moduli space of marked stable curves and the KdV integrable hierarchy. Alternatively, the KdV hierarchy can be rephrased in terms of a representation of half the Virasoro algebra. Wittenâ€™s conjectures were proved by Kontsevich. I will present analogous conjectures for moduli of Riemann surfaces with boundary. These conjectures have been proved in genus 0. This is joint work with R. Pandharipande and R. Tessler.