There is no seminar on May 2, because of the Billingsley Lecture and reception. |

May 16, 2013 |

Cohomology of braid groups and configuration spaces of manifolds — Jenny Wilson |

The (ordered) configuration space of a topological space is the space of all ordered -tuples of distinct points in — an object of extensive study in algebraic topology and geometry. It is a classical result that when is the plane , the space is a for the pure braid group . I will describe Arnold’s 1968 computation of the cohomology of . In 1993, Totaro studied the cohomology of the configuration space of a closed oriented manifold, realizing these cohomology groups as the limit of a Leray spectral sequence. I will outline his results. |

References: Arnold, The cohomology ring of the group of colored braids Totaro, Configuration spaces of algebraic varieties Notes in pdf: Cohomology of braid groups and configuration spaces |