Wednesday, January 30, 2013 - 13:00 , Location: Skiles 006 , Meredith Casey , Georgia Tech , Organizer: James Conway
Wednesday, January 30, 2013 - 13:00 , Location: Skiles 006 , Meredith Casey , Georgia Tech , Organizer:
This is an expository talk on the arc complex and translation distance of open book decompositions. We will discuss curve complexes, arc complex, open books, and finally the application to contact manifolds.
Wednesday, January 23, 2013 - 13:05 , Location: Skiles 006. , Amey Kaloti , Georgia Tech , Organizer:
This is continuation of talk from last week. Periodic orbits of flows on $3$ manifolds show very rich structure. In this talk we will try to prove a theorem of Ghrist, which states that, there exists vector fields on $S^3$ whose set of periodic orbits contains every possible knot and link in $S^3$. The proof relies on template theory.
Wednesday, November 14, 2012 - 14:05 , Location: Skiles 006 , Becca Winarski , Georgia Tech , Organizer:
We look at a paper of McMullen "Braid Groups and Hodge Theory" exploring representations of braid groups and their connections to arithemetic lattices.
Wednesday, October 31, 2012 - 14:00 , Location: Skiles 006. , Amey Kaloti , Georgia Tech , Organizer:
The goal of this talk is to study geography and classification problem for Stein fillings of contact structures supported by planar open books. In the first part we will prove that for contact structures supported by planar open books Stein fillings have a finite geography. In the second part we will outline an approach to classify Stein fillings of manifolds supported by planar open books.
Wednesday, September 12, 2012 - 14:00 , Location: Skiles 006 , Jamie Conway , Georgia Tech , Organizer: James Conway
We will investigate a method of "seeing" properties of four dimensional symplectic spaces by looking at two dimensional pictures. We will see how to calculate the Euler characteristic, identify embedded surfaces, see intersection numbers, and how to see induced contact structures on the boundary of these manifolds.
Wednesday, September 5, 2012 - 14:00 , Location: Skiles 006 , Hyunshik Shin , School of Mathematics , Organizer:
The main goal is to characterize the dilatation of an outer automorphisms of free groups. It is known that for any automorphism, its dilatation is a weak Perron number. The converse was recently shown by Thurston; for every weak Perron number, there is an automorphism represented by a train track map. We will discuss Thurston's theorem and its proof.
Wednesday, August 29, 2012 - 14:00 , Location: Skiles 006 , Hyunshik Shin , School of Mathematics, Georgia Tech , Organizer:
We will discuss the basics of automorphisms of free groups and train track structure. We will define the growth rate which is a topological entropy of the train track map.