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Geometria Diferencial

Título |
About the formal principle |

Expositor |
Olivier Thom
IMPA |

Data |
Terça-feira, 14 de janeiro de 2020, 15:30 |

Local |
Sala 236. |

Resumo |

The main subject of this talk will be the formal principle for curves in surfaces.

We say that a germ of surface S along a curve C satisfies the formal principle if every other surface S’ formally biholomorphic to S is in fact biholomorphic to S. I will explain some of the different results concerning this problem and the tools which can be used to prove them, going from the first results using negativity/positivity assumptions on the normal bundle to the more recent developments using projectivity hypotheses on the surface.