# Details of talk

Title | $\infty$-groupoids and the Homotopy Hypothesis |
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Presenter | Edoardo Lanari (Macquarie University) |

Author(s) | Mr Edoardo Lanari |

Session | Category Theory, Algebraic Topology, K-Theory |

Time | 15:00:00 2017-12-13 |

Abstract | In this talk I will introduce a globular model for weak $\infty$-groupoids, due to A.\,Grothendieck, and illustrate the basic features of their homotopy theory. It is conjectured that the $(\infty,1)$ category they present models homotopy types (this is the so called `Homotopy Hypothesis'), which has been proven to hold true for essentially every other existing model of $\infty$-groupoids (e.g., Kan complexes). I will also outline original ideas and results of my work, along with important results in the literature on this topic, to give an idea on how to prove this conjecture. |