### James Construction and Stable Ranges

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, February 4, 2015 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- James Conway – Georgia Tech

TBA

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- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, February 4, 2015 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- James Conway – Georgia Tech

TBA

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, January 7, 2015 - 14:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Peter Woolfitt – Georgia Tech

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, December 3, 2014 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Robert Krone – Georgia 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.

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, November 26, 2014 - 14:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Eric Sabo – Georgia Institute of Technology – esabo3@gatech.edu

**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.

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, November 19, 2014 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Elizabeth Bolduc – Georgia Tech

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, November 19, 2014 - 02:01 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Elizabeth Bolduc – Georgia 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!

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, November 12, 2014 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Jamie Conway – Georgia 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.

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, November 5, 2014 - 14:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Shane Scott – GaTech

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.

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, October 29, 2014 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Jonathan Paprocki – Georgia Tech

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

We will present an introduction to the notion of quantum invariants of knots and links, and in particular the colored Jones polynomial. We will also introduce the Volume Conjecture, which relates a certain limiting behavior of a quantum invariant (the colored Jones polynomial of a link) with a classical invariant (the hyperbolic volume of the hyperbolic part of a link complement in S^3) and has been proven in a number of cases.

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, October 22, 2014 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Sudipta Kolay – Georgia Tech

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

In this talk we will discuss the Loop Theorem, which is a generalization of Dehn's lemma. We will outline a proof using the "tower construction".

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