Princeton/IAS Symplectic Geometry Seminar | |

Topic: | Homological Mirror Symmetry for singularities of type $T_{pqr}$ |

Speaker: | Ailsa Keating |

Affiliation: | Columbia University |

Date: | Thursday, March 10 |

Time/Room: | 10:30am - 11:30am/S-101 |

Video Link: | https://video.ias.edu/puias/2016/0310-Keating |

We present some homological mirror symmetry statements for the singularities of type $T_{p,q,r}$. Loosely, these are one level of complexity up from so-called 'simple' singularities, of types $A$, $D$ and $E$. We will consider some symplectic invariants of the real four-dimensional Milnor fibres of these singularities, and explain how they correspond to coherent sheaves on certain blow-ups of the projective space $\mathbb P^2$, as suggested notably by Gross-Hacking-Keel. We hope to emphasize how the relations between different ``flavours" of invariants (e.g., versions of the Fukaya category) match up on both sides.