Seminars and Colloquia by Series

Algebraic and geometric aspects of Braid Groups

Series
Geometry Topology Student Seminar
Time
Wednesday, September 28, 2011 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Marta Aguilera – Georgia Tech
In this talk I define the braid groups, its Garside structure, and its application to solve the word and conjugacy problems. I present a braid group with $n$ strands as the mapping class group of the disk with $n$ punctures, $\mathbb{D}^2-\{p_1\ldots p_n\}$, and a classification of surface homeomorphisms by the Nielsen Thurston theorem. I will also discuss results that require algebraic and geometric tools.

Colored Jones polynomials and Volume Conjecture, I

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.

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