April 24, 2014 |

Massey products, the lower central series, and the Poincaré conjecture — Nick Salter |

Massey products are higher-order multiplications in cohomology that generalize the cup product. In this talk we will define Massey products and indicate some of their applications in geometric topology. We will then explain the relationship between Massey products and the lower central series of a group. As an application we will give a brief sketch of a hypothetical approach to proving the Poincaré conjecture by means of a deep analysis of the Johnson filtration of the Torelli group. |

Talk notes. |

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