Seminars and Colloquia by Series

Vector Fields on Spheres

Series
Geometry Topology Student Seminar
Time
Friday, February 20, 2015 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Sudipta Kolay – Georgia Tech

Please Note: 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.

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 Conway – Georgia 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 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.

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 Sabo – Georgia 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.

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