Categorical Aspects of Algebraic Geometry in Mirror Symmetry

RIMS International Project Research 2007

"Mirror Symmetry and Topological Field Theory"

## Program

## Abstracts

#### Lectures : at Lecture Hall 115

RIMS International Project Research 2007

"Mirror Symmetry and Topological Field Theory"

Dec. 3 (Mon) | ||

13:00 - 13:30 | Registration | |

13:30 - 14:30 | A. Bondal | Derived categories of complex-analytic manifolds |

15:00 - 16:00 | A. Kuznetsov | Categorical resolutions of singularities |

Dec. 4 (Tue) | ||

09:30 - 11:30 | K. Hori | Phases of N=2 theories in 1+1 dimensions with boundary |

Lunch | ||

13:30 - 14:30 | Y. Toda | Stability conditions and counting invariants of semistable objects |

15:00 - 16:00 | D. Kaledin | Deligne conjecture and the Drinfeld double |

16:30 - 17:30 | K. Nagao | Braid group actions on K-groups of quiver varieties |

Dec. 5 (Wed) | ||

09:30 - 10:30 | E. Macri | Derived equivalences of K3 surfaces and orientation |

11:00 - 12:00 | H. Uehara | Derived equivalence for stratified Mukai flop on G(2,4) via tilting generators (with Y. Toda) |

Lunch | ||

Afternoon | Discussion | |

18:30 - | Dinner | |

Dec. 6 (Thu) | ||

09:30 - 11:30 | B. Toen | Chern character, loop spaces and derived algebraic geometry |

Lunch | ||

13:30 - 14:30 | B. Keller | Algebraic K-theory via universal invariants (after Goncalo Tabuada) |

15:00 - 16:00 | O. Iyama | Cluster tilting for one-dimensional hypersurface singularities |

16:30 - 17:30 | I. Burban | Vector bundles on cubic curves and Yang-Baxter equations |

Dec. 7 (Fri) | ||

09:30 - 10:30 | A. Ishii | Brane tilings and crepant resolutions of some three-dimensional toric singularities |

11:00 - 12:00 | D. Orlov | TBA |