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DATE | 2018-01-04 14:10-15:00 |

PLACE | 數學館3F會議室 |

SPEAKER | Jason Lo 助理教授（California State University, Northridge (CSUN)） |

TITLE | Stability, Counting Invariants and Symmetries |

ABSTRACT | In algebraic geometry, any time we have a notion of `stability for coherent sheaves or complexes of coherent sheaves on a smooth projective variety $X$, we can consider moduli spaces of the stable objects. When the moduli spaces have good enough properties, we can define associated `counting invariants' on $X$, such as Donaldson-Thomas (DT) invariants and Pandharipande-Thomas (PT) invariants. When $X$ possesses an internal symmetry, the symmetry can induce relations between different stable objects, and relations between different counting invariants. In this talk, I will talk about some recent developments in this area on threefolds and possible future directions. |