Seminars and Colloquia by Series

Braid Theory: Burau and Gassner Representations

Series
Geometry Topology Student Seminar
Time
Wednesday, February 18, 2015 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Jamie ConwayGeorgia Tech
We will describe the Burau representation of the braid group and the related Gassner representation of the pure braid group. We will explore how the Burau representation is related to the Alexander polynomial.

The boundary of the curve complex

Series
Geometry Topology Student Seminar
Time
Wednesday, December 3, 2014 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Robert KroneGeorgia Tech
I will present a result of Klarreich on the boundary at infinity of the complex of curves of a compact orientable surface. The complex of curves is a delta-hyperbolic space so it has a boundary which is the set of equivalence classes of quasi-geodesic rays. Klarreich shows that the resulting space is homeomorphic to the space of minimal foliations of the surface.

Alexander's Theorem

Series
Geometry Topology Student Seminar
Time
Wednesday, November 26, 2014 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Eric SaboGeorgia Institute of Technology

Please Note: This is a project for Prof. Margalit's course on Low-dimensional Topology and Hyperbolic Geometry.

I will present a modern proof of Alexander's Theorem using Morse Theory and surgery.

Dehn-Nielsen-Baer Theorem

Series
Geometry Topology Student Seminar
Time
Wednesday, November 19, 2014 - 02:01 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Elizabeth BolducGeorgia Tech
The Dehn Nielsen Baer Theorem states that the extended mapping class group is isomorphic to the outer automorphisms of π1(Sg). The theorem highlights the connection between the topological invariant of distinct symmetries of a space and its fundamental group. This talk will incorporate ideas from algebra, topology, and hyperbolic geometry!

Fenchel-Nielsen Coordinates on Teichmüller Space

Series
Geometry Topology Student Seminar
Time
Wednesday, November 12, 2014 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Jamie ConwayGeorgia Tech
A surface with negative Euler characteristic has a hyperbolic metric. However, this metric is not unique. We will consider the Teichmüller space of a surface, which is the space of hyperbolic structures up to an equivalence relation. We will discuss the topology of and how to put coordinates on this space. If there is time, we will see that the lengths of 9g-9 curves determine the hyperbolic structure.

The Thurston Norm

Series
Geometry Topology Student Seminar
Time
Wednesday, November 5, 2014 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Shane ScottGaTech
The genus of a knot can be thought of as a measure of complexity for a 3 dimensional knot compliment. This notion can be extended to compact 3 manifolds by defining a norm on the second homology group with real coefficients measuring the Euler characteristic of embedded surfaces.

Pages