### TBA by Bulent Tosun

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, April 20, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Bulent Tosun – Georgia Tech

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- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, April 20, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Bulent Tosun – Georgia Tech

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, April 13, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Amey Kaloti – Georgia Tech

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, April 6, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Anh Tran – Georgia Tech

TBA

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, March 30, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Thao Vuong – Georgia Tech

I will give an example of transforming a knot into closed braid form
using Yamada-Vogel algorithm. From this we can write down the
corresponding element of the knot in the braid group. Finally, the
definition of a colored Jones polynomial is given using a Yang-Baxter
operator. This is a preparation for next week's talk by Anh.

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, March 16, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Alan Diaz – Georgia Tech

( This will be a continuation of last week's talk. )An n-dimensional topological quantum field theory is a functor from the
category of closed, oriented (n-1)-manifolds and n-dimensional cobordisms to
the category of vector spaces and linear maps. Three and four dimensional
TQFTs can be difficult to describe, but provide interesting invariants of
n-manifolds and are the subjects of ongoing research.
This talk focuses on the simpler case n=2, where TQFTs turn out to be
equivalent, as categories, to Frobenius algebras. I'll introduce the two
structures -- one topological, one algebraic -- explicitly describe the
correspondence, and give some examples.

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, March 9, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Alan Diaz – Georgia Tech

An n-dimensional topological quantum field theory is a functor from the
category of closed, oriented (n-1)-manifolds and n-dimensional cobordisms to
the category of vector spaces and linear maps. Three and four dimensional
TQFTs can be difficult to describe, but provide interesting invariants of
n-manifolds and are the subjects of ongoing research.
This talk focuses on the simpler case n=2, where TQFTs turn out to be
equivalent, as categories, to Frobenius algebras. I'll introduce the two
structures -- one topological, one algebraic -- explicitly describe the
correspondence, and give some examples.

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, March 2, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Eric Choi – Emory

The soul of a complete, noncompact, connected Riemannian manifold (M; g) of non-negative sectional curvature is a compact, totally convex, totally geodesic submanifold such that M is diffeomorphic to the normal bundle of the soul. Hence, understanding of the souls of M can reduce the study of M to the study of a compact set. Also, souls are metric invariants, so understanding how they behave under deformations of the metric is useful to analyzing the space of metrics on M. In particular, little is understood about the case when M = R2 . Convex surfaces of revolution in R3 are one class of two-dimensional Riemannian manifolds of nonnegative sectional curvature, and I will discuss some results regarding the sets of souls for some of such convex surfaces.

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, February 23, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Becca Winarski – Georgia Tech

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, February 16, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Meredith Casey – Georgia Tech

TBA

- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, February 9, 2011 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Bulent Tosun – Georgia Tech

This will be a continuation of last week's talk on exotic four manifolds. We will recall the rational blow down operation and give a quick exotic example.

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