Geometry and Topology Seminar 2019-2020: Difference between revisions
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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]] | ||
== Fall | |||
== Fall 2018 == | |||
{| cellpadding="8" | {| cellpadding="8" | ||
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!align="left" | host(s) | !align="left" | 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) | ||
|- | |- | ||
| | | | ||
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== Fall Abstracts == | == 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 == | == 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> |
Revision as of 17:18, 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