Seminars and Colloquia by Series

Wednesday, April 12, 2017 - 14:00 , Location: Skiles 006 , None , None , Organizer: John Etnyre
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 22, 2017 - 14:05 , Location: Skiles 006 , None , None , Organizer: Justin Lanier
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.
Wednesday, February 22, 2017 - 14:05 , Location: Skiles 006 , Andrew McCullough , Georgia Tech , Organizer: Justin Lanier
We will discuss a way of explicitly constructing ribbon knots using one-two handle canceling pairs.  We will also mention how this is related to some recent work of Yasui, namely that there are infinitely many knots in (S^3, std) with negative maximal Thurston-Bennequin invariant for which Legendrian surgery yields a reducible manifold.
Wednesday, February 15, 2017 - 14:05 , Location: Skiles 006 , Surena Hozoori , Georgia Tech , Organizer: Justin Lanier
In this talk, I will define Conley-Zehnder index of a periodic Reeb orbit and will give several characterizations of this invariant. Conley-Zehnder index plays an important role in computing the dimension of certain families of J-holomorphic curves in the symplectization of a contact manifold.

Pages