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Wednesday, September 13, 2017 - 13:55 ,
Location: Skiles 006 ,
Hyun Ki Min ,
Georgia Tech ,
Organizer: Jennifer Hom

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.

Wednesday, April 5, 2017 - 14:05 ,
Location: Skiles 006 ,
Sudipta Kolay ,
Georgia Tech ,
Organizer: Justin Lanier

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.

Wednesday, March 29, 2017 - 14:05 ,
Location: Skiles 006 ,
Sudipta Kolay ,
Georgia Tech ,
Organizer: Justin Lanier

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.

Wednesday, March 15, 2017 - 14:05 ,
Location: Skiles 006 ,
Shane Scott ,
Georgia Tech ,
Organizer: Justin Lanier

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.

Wednesday, March 8, 2017 - 14:05 ,
Location: Skiles 006 ,
Hyun Ki Min ,
Georgia Tech ,
Organizer: Justin Lanier

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.

Wednesday, March 1, 2017 - 14:05 ,
Location: Skiles 006 ,
Hyun Ki Min ,
Georgia Tech ,
Organizer: Justin Lanier
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.

Thursday, February 23, 2017 - 12:00 ,
Location: Skiles 005 ,
Sudipta Kolay ,
Georgia Tech ,
Organizer: Sudipta Kolay

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.