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Friday, February 20, 2015 - 14:05 ,
Location: Skiles 006 ,
Sudipta Kolay ,
Georgia Tech ,
Organizer: Sudipta Kolay

This is a project for Prof. Wickelgren's course on Stable Homotopy Theory.

In this talk, I will show using Clifford algebras that there are ρ(n)-1 linearly independent vector fields on the unit sphere in the n dimensional Euclidean space, where ρ(n) is the Radon-Hurwitz number.

Wednesday, February 18, 2015 - 14:00 ,
Location: Skiles 006 ,
Jamie Conway ,
Georgia Tech ,
Organizer: James Conway

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.

Wednesday, February 11, 2015 - 14:00 ,
Location: Skiles 006 ,
Alan Diaz ,
Georgia Tech ,
Organizer: Alan Diaz

Wednesday, February 4, 2015 - 14:00 ,
Location: Skiles 006 ,
James Conway ,
Georgia Tech ,
Organizer: James Conway

TBA

Wednesday, January 7, 2015 - 14:05 ,
Location: Skiles 006 ,
Peter Woolfitt ,
Georgia Tech ,
Organizer: Dan Margalit

Wednesday, December 3, 2014 - 14:00 ,
Location: Skiles 006 ,
Robert Krone ,
Georgia Tech ,
Organizer: Robert Krone

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.

Wednesday, November 26, 2014 - 14:05 ,
Location: Skiles 006 ,
Eric Sabo ,
Georgia Institute of Technology ,
esabo3@gatech.edu ,
Organizer: Eric Sabo

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.

Wednesday, November 19, 2014 - 14:00 ,
Location: Skiles 006 ,
Elizabeth Bolduc ,
Georgia Tech ,
Organizer:

Wednesday, November 19, 2014 - 02:01 ,
Location: Skiles 006 ,
Elizabeth Bolduc ,
Georgia Tech ,
Organizer:

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!

Wednesday, November 12, 2014 - 14:00 ,
Location: Skiles 006 ,
Jamie Conway ,
Georgia Tech ,
Organizer: James Conway

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.