Seminars and Colloquia by Series

Wednesday, February 8, 2017 - 14:05 , Location: Skiles 006 , Caitlin Leverson , Georgia Tech , Organizer: Justin Lanier
Normal rulings are decompositions of a projection of a Legendrian knot or link. Not every link has a normal ruling, so existence of a normal ruling gives a Legendrian link invariant. However, one can use the normal rulings of a link to define the ruling polynomial of a link, which is a more useful Legendrian knot invariant. In this talk, we will discuss normal rulings of Legendrian links in various manifolds and prove that the ruling polynomial is a Legendrian link invariant.
Wednesday, February 1, 2017 - 14:05 , Location: Skiles 006 , Justin Lanier , Georgia Tech , Organizer: Justin Lanier
Wajnryb showed that the mapping class group of a surface can be generated by two elements, each given as a product of Dehn twists. We will discuss a follow-up paper by Korkmaz, "Generating the surface mapping class group by two elements." Korkmaz shows that one of the generators may be taken to be a single Dehn twist instead. He then uses his construction to further prove the striking fact that the two generators can be taken to be periodic elements, each of order 4g+2, where g is the genus of the surface.
Wednesday, November 30, 2016 - 14:00 , Location: Skiles 006 , Dr , Ediburgh , Organizer: Thang Le
Wednesday, November 23, 2016 - 14:00 , Location: None , None , None , Organizer: John Etnyre
Wednesday, November 16, 2016 - 14:05 , Location: Skiles 006 , Caitlin Leverson , Georgia Tech , Organizer: Shane Scott
We will review the definition of the Chekanov-Eliashberg differentialgraded algebra for Legendrian knots in R^3 and look at examples tounderstand a few of the invariants that come from Legendrian contacthomology.
Wednesday, November 9, 2016 - 14:05 , Location: Skiles 006 , Caitlin Leverson , Georgia Tech , Organizer: Shane Scott
We will review the definition of the Chekanov-Eliashberg differentialgraded algebra for Legendrian knots in R^3 and look at examples tounderstand a few of the invariants that come from Legendrian contacthomology.
Wednesday, November 2, 2016 - 14:05 , Location: Skiles 006 , Sudipta Kolay , Georgia Tech , Organizer: Sudipta Kolay
We will show that every closed orientable 3-manifold bounds an orientable 4-manifold. If time permits, we will also see an application to embedding closed orientable 3-manifolds to R^5.
Wednesday, October 19, 2016 - 14:00 , Location: Skiles 006 , Andrew McCullough , Georgia Institute of Technology , andrew.mccullough@gatech.edu , Organizer: Andrew McCullough
We will discuss some facts about intersection forms on closed, oriented 4-manifolds.  We will also sketch the proof that for two closed, oriented, simply connected manifolds, they are homotopy equivalent if and only if they have isomorphic intersection forms. 
Wednesday, October 5, 2016 - 14:00 , Location: Skiles 006 , Justin Lanier , Georgia Tech , Organizer: Justin Lanier
Given a surface, intersection information about the simple closed curves on the surface is encoded in its curve graph. Vertices are homotopy classes of curves, and edges connect vertices corresponding to curves with disjoint representatives. We can wonder what subgraphs of the curve graph are possible for a given surface. For example, if we fix a surface, then a graph with sufficiently large clique number cannot be a subgraph of its curve graph. This is because there are only so many distinct and mutually disjoint curves in a given surface. We will discuss a new obstruction to a graph being a subgraph of individual curve graphs given recently by Bering, Conant, and Gaster.
Wednesday, September 28, 2016 - 14:05 , Location: Skiles 006 , Sudipta Kolay , Georgia Tech , Organizer: Sudipta Kolay
In this talk, we will discuss recent results by Ozawa on whether every compact submanifold of S^3 can be unknotted by twistings.

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