# Difference between revisions of "Geometry and Topology Seminar"

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The [[Geometry and Topology]] seminar meets in room '''901 of Van Vleck Hall''' on '''Fridays''' from '''1:20pm - 2:10pm'''. | The [[Geometry and Topology]] seminar meets in room '''901 of Van Vleck Hall''' on '''Fridays''' from '''1:20pm - 2:10pm'''. | ||

<br> | <br> | ||

− | For more information, contact | + | For more information, contact Shaosai Huang. |

[[Image:Hawk.jpg|thumb|300px]] | [[Image:Hawk.jpg|thumb|300px]] | ||

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− | + | == Fall 2018 == | |

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!align="left" | host(s) | !align="left" | host(s) | ||

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− | | | + | |Sept. 14 |

− | | | + | |Teddy Einstein (UIC) |

− | | | + | |Quasiconvex Hierarchies for Relatively Hyperbolic Non-Positively Curved Cube Complexes |

− | | | + | |(Dymarz) |

|- | |- | ||

− | | | + | |Oct. 12 |

− | | | + | |Marissa Loving |

− | | | + | |TBA |

− | | | + | |(Kent) |

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− | | | + | |Oct. 19 |

− | | | + | |Sara Maloni |

− | | | + | |TBA |

− | | | + | |(Kent) |

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− | | | + | |Nov. 16 |

− | + | |Xiangdong Xie | |

− | + | |TBA | |

− | + | |(Dymarz) | |

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== Fall Abstracts == | == Fall Abstracts == | ||

− | === | + | ===Teddy Einstein=== |

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− | + | "Quasiconvex Hierarchies for Relatively Hyperbolic Non-Positively Curved Cube Complexes" | |

− | + | Non-positively curved (NPC) cube complexes are important tools in low dimensional topology and group theory and play a prominent role in Agol's proof of the Virtual Haken Conjecture. Constructing a hierarchy for a NPC cube complex is a powerful method of decomposing its fundamental group essential to the theory of NPC cube complex theory. When a cube complex admits a hierarchy with nice properties, it becomes possible to use the hierarchy structure to make inductive arguments. I will explain what a quasiconvex hierarchy of an NPC cube complex is and briefly discuss some of the applications. We will see an outline of how to construct a quasiconvex hierarchy for a relatively hyperbolic NPC cube complex and some of the hyperbolic and relatively hyperbolic geometric tools used to ensure the hierarchy is indeed quasiconvex. | |

− | + | ||

== Archive of past Geometry seminars == | == Archive of past Geometry seminars == | ||

+ | 2017-2018 [[Geometry_and_Topology_Seminar_2017-2018]] | ||

+ | <br><br> | ||

+ | 2016-2017 [[Geometry_and_Topology_Seminar_2016-2017]] | ||

+ | <br><br> | ||

2015-2016: [[Geometry_and_Topology_Seminar_2015-2016]] | 2015-2016: [[Geometry_and_Topology_Seminar_2015-2016]] | ||

<br><br> | <br><br> |

## Latest revision as of 12:18, 7 September 2018

The Geometry and Topology seminar meets in room **901 of Van Vleck Hall** on **Fridays** from **1:20pm - 2:10pm**.

For more information, contact Shaosai Huang.

## Fall 2018

date | speaker | title | host(s) |
---|---|---|---|

Sept. 14 | Teddy Einstein (UIC) | Quasiconvex Hierarchies for Relatively Hyperbolic Non-Positively Curved Cube Complexes | (Dymarz) |

Oct. 12 | Marissa Loving | TBA | (Kent) |

Oct. 19 | Sara Maloni | TBA | (Kent) |

Nov. 16 | Xiangdong Xie | TBA | (Dymarz) |

## Fall Abstracts

### Teddy Einstein

"Quasiconvex Hierarchies for Relatively Hyperbolic Non-Positively Curved Cube Complexes"

Non-positively curved (NPC) cube complexes are important tools in low dimensional topology and group theory and play a prominent role in Agol's proof of the Virtual Haken Conjecture. Constructing a hierarchy for a NPC cube complex is a powerful method of decomposing its fundamental group essential to the theory of NPC cube complex theory. When a cube complex admits a hierarchy with nice properties, it becomes possible to use the hierarchy structure to make inductive arguments. I will explain what a quasiconvex hierarchy of an NPC cube complex is and briefly discuss some of the applications. We will see an outline of how to construct a quasiconvex hierarchy for a relatively hyperbolic NPC cube complex and some of the hyperbolic and relatively hyperbolic geometric tools used to ensure the hierarchy is indeed quasiconvex.

## Archive of past Geometry seminars

2017-2018 Geometry_and_Topology_Seminar_2017-2018

2016-2017 Geometry_and_Topology_Seminar_2016-2017

2015-2016: Geometry_and_Topology_Seminar_2015-2016

2014-2015: Geometry_and_Topology_Seminar_2014-2015

2013-2014: Geometry_and_Topology_Seminar_2013-2014

2012-2013: Geometry_and_Topology_Seminar_2012-2013

2011-2012: Geometry_and_Topology_Seminar_2011-2012

2010: Fall-2010-Geometry-Topology