RTG Topology Seminar Rice University 2022 – 2023 |
This seminar meets 4-5pm (CDT/CST) on Fridays in person in HBH 427. The abstracts are below the titles.
Date | Speaker | Title |
2-3 | Connor Sell | Compact flat manifolds with non-vanishing Stiefel-Whitney classes |
2-17 | Alex Manchester | TBA |
2-24 | Brian Udall | Thompson's Group F |
3-3 | Zhiyi Zhang | TBA |
3-10 | Junmo Ryang | TBA |
3-24 | Sara Edelman-Munoz | TBA |
3-31 | Tam Cheetham-West | TBA |
4-7 | Eliot Bongiovanni | TBA |
4-14 | Aisha Mechary | TBA |
4-31 | Jiayu Wan | (Topology Seminar) |
Abstracts:
Connor Sell: Compact flat manifolds with non-vanishing Stiefel-Whitney classes
In this talk, we'll discuss a construction of compact flat (2n+1)- manifolds M such that the Stiefel-Whitney classes w_2j(M) are non-vanishing for all 2j <= n. This result stands in contrast to the fact that the Stiefel-Whitney numbers of flat manifolds vanish, and has an application to hyperbolic manifolds.
Brian Udall: Thompson's Group F
Thompsons group F is a well studied group which has shown up
in a variety of contexts since Thompson originally discovered it and
its parent groups in the 60's. In this talk, we'll be focusing on a
couple of concrete geometric representations of the group, and see how
these different ways of viewing the group can provide different kinds
of information about it. Specifically, we will discuss its standard
presentations and facts about its commutator subgroup, as well as some
of the history of F and amenability.
Date | Speaker | Title |
8-26 | Organizational Seminar | |
9-2 | Connor Sell | A hyperbolic 5-manifold that fibers over S^1 |
9-9 | Tam Cheetham-West | TBA |
9-16 | Sara Edelman-Munoz | TBA |
9-23 | Alex Manchester | TBA |
9-30 | Zihao Liu | TBA |
10-7 | Eliot Bongiovanni | TBA |
10-14 | Jason Joseph | TBA |
10-21 | Junmo Ryang | TBA |
10-28 | No seminar | |
11-4* | Steve Kerckhoff (Stanford) | (Topology Seminar) |
11-11 | Zhiyi Zhang | TBA |
11-18 | Jiayu Wan | TBA |
12-25 | Thanksgiving - no seminar | |
12-2 | George Domat | TBA |
*Topology Seminar
Abstracts:
Connor Sell - A hyperbolic 5-manifold that fibers over S^1.
The property of fibering over S^1 plays an important role in the study of hyperbolic 3-manifolds. However, it was unknown until recently whether any hyperbolic manifolds in other dimensions had this property. In this talk, I will discuss a paper by Italiano-Martelli-Migliorini which constructs a hyperbolic 5-manifold that fibers over S^1.