Seminars and Colloquia by Series

Tight contact structures on the Weeks manifold

Series
Geometry Topology Student Seminar
Time
Wednesday, September 13, 2017 - 13:55 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Hyun Ki Min – Georgia Tech
The Weeks manifold W is a closed orientable hyperbolic 3-manifold with the smallest volume. Understanding contact structures on hyperbolic 3-manifolds is one of problems in contact topology. Stipsicz previously showed that there are 4 non-isotopic tight contact structures on the Weeks manifold. In this talk, we will exhibit 7 non-isotopic tight contact structures on W with non-vanishing Ozsvath-Szabo invariants.

Branched covers of spheres II

Series
Geometry Topology Student Seminar
Time
Wednesday, April 5, 2017 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Sudipta Kolay – Georgia Tech
Continuing from last time, we will discuss Hilden and Montesinos' result that every smooth closed oriented three manifold is a three fold branched cover over the three sphere, and also there is a representation by bands.

Branched covers of spheres I

Series
Geometry Topology Student Seminar
Time
Wednesday, March 29, 2017 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Sudipta Kolay – Georgia Tech
In this series of talks we will show that every closed oriented three manifold is a branched cover over the three sphere, with some additional properties. In the first talk we will discuss some examples of branched coverings of surfaces and three manifolds, and a classical result of Alexander, which states that any closed oriented combinatorial manifold is always a branched cover over the sphere.

Classification of Free Group Automorphisms

Series
Geometry Topology Student Seminar
Time
Wednesday, March 15, 2017 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Shane Scott – Georgia Tech
Much of what is known about automorphisms of free groups is given by analogy to results on mapping class groups. One desirable result is the celebrated Nielson-Thurston classification of the mapping class group into reducible, periodic, or pseudo Anosov homeomorphisms. We will discuss attempts at analogous results for free group automorphisms.

Loose Legendrians in high dimensional contact manifolds (II)

Series
Geometry Topology Student Seminar
Time
Wednesday, March 8, 2017 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Hyun Ki Min – Georgia Tech
There is no general h-principle for Legendrian embeddings in contact manifolds. In dimension 3, however, Legendrian knots in the complement of an overtwisted disc, which are called loose, satisfy an h-principle. We will discuss the high dimensional analog of loose knots.

Loose Legendrians in high dimensional contact manifolds (I)

Series
Geometry Topology Student Seminar
Time
Wednesday, March 1, 2017 - 14:05 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Hyun Ki Min – Georgia Tech
There is no general h-principle for Legendrian embeddings in contact manifolds. In dimension 3, however, Legendrian knots in the complement of an overtwisted disc, which are called loose, satisfy an h-principle. We will discuss the high dimensional analog of loose knots.

Braid and Knot Theory

Series
Geometry Topology Student Seminar
Time
Thursday, February 23, 2017 - 12:00 for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Sudipta Kolay – Georgia Tech
Braid and knot theory in 3-dimensional Euclidean space are related by classical theorems of Alexander and Markov. We will talk about closed braids in higher dimensions, and generalizations of Alexander's theorem.

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