Seminars and Colloquia by Series

Stein domains and the Oka-Grauert principle
Series: Geometry Topology Working Seminar
Friday, September 21, 2018 - 14:00 , Location: Skiles 006 , Peter Lambert-Cole , Georgia Insitute of Technology , Organizer: Peter Lambert-Cole
The Oka-Grauert principle is one of the first examples of an h-principle.  It states that for a Stein domain X and a complex Lie group G, the topological and holomorphic classifications of principal G-bundles over X agree.  In particular, a complex vector bundle over X has a holomorphic trivialization if and only if it has a continuous trivialization.  In these talks, we will discuss the complex geometry of Stein domains, including various characterizations of Stein domains, the classical Theorems A and B, and the Oka-Grauert principle.
Stein domains and the Oka-Grauert principle
Series: Geometry Topology Working Seminar
Friday, September 14, 2018 - 13:55 , Location: Skiles 006 , Peter Lambert-Cole , Georgia Insitute of Technology , Organizer: Peter Lambert-Cole
The Oka-Grauert principle is one of the first examples of an h-principle.  It states that for a Stein domain X and a complex Lie group G, the topological and holomorphic classifications of principal G-bundles over X agree.  In particular, a complex vector bundle over X has a holomorphic trivialization if and only if it has a continuous trivialization.  In these talks, we will discuss the complex geometry of Stein domains, including various characterizations of Stein domains, the classical Theorems A and B, and the Oka-Grauert principle.
Oral Exam: Contact structures on hyperbolic 3-manifolds
Series: Geometry Topology Working Seminar
Wednesday, May 2, 2018 - 14:00 , Location: Skiles 006 , Hyunki Min , Georgia Tech , hmin38@gatech.edu , Organizer: Hyun Ki Min
Understanding contact structures on hyperbolic 3-manifolds is one of the major open problems in the area of contact topology. As a first step, we try to classify tight contact structures on a specific hyperbolic 3-manifold. In this talk, we will review the previous classification results and classify tight contact structures on the Weeks manifold, which has the smallest hyperbolic volume. Finally, we will discuss how to generalize this method to classify tight contact structures on some other hyperbolic 3-manifolds.
The Alexander module and categorification, part 3
Series: Geometry Topology Working Seminar
Friday, March 16, 2018 - 14:00 , Location: Skiles 006 , Jen Hom , Georgia Tech , Organizer: Jennifer Hom
In this series of talks, we will study the relationship between the Alexander module and the bordered Floer homology of the Seifert surface complement. In particular, we will show that bordered Floer categorifies Donaldson's TQFT description of the Alexander module. 
The Alexander module and categorification, part 2
Series: Geometry Topology Working Seminar
Friday, March 9, 2018 - 14:00 , Location: Skiles 006 , Jen Hom , Georgia Tech , Organizer: Jennifer Hom
In this series of talks, we will study the relationship between the Alexander module and the bordered Floer homology of the Seifert surface complement. In particular, we will show that bordered Floer categorifies Donaldson's TQFT description of the Alexander module. This seminar will be an hour long to allow for the GT-MAP seminar at 3 pm.
The Alexander module and categorification
Series: Geometry Topology Working Seminar
Friday, March 2, 2018 - 14:00 , Location: Skiles 006 , Jen Hom , Georgia Tech , Organizer: Jennifer Hom
In this series of talks, we will study the relationship between the Alexander module and the bordered Floer homology of the Seifert surface complement. In particular, we will show that bordered Floer categorifies Donaldson's TQFT description of the Alexander module. No prior knowledge of the Alexander module or Heegaard Floer homology will be assumed.
No Seminar (Algebraic Geometry Symposium)
Series: Geometry Topology Working Seminar
Friday, February 23, 2018 - 14:00 , Location: none , none , none , Organizer: John Etnyre
Branched covers V
Series: Geometry Topology Working Seminar
Friday, November 10, 2017 - 13:55 , Location: Skiles 006 , John Etnyre , Georgia Tech , Organizer: John Etnyre
  In this series of talks I will introduce branched coverings of manifolds and sketch proofs of most the known results in low dimensions (such as every 3 manifold is a 3-fold branched cover over a knot in the 3-sphere and the existence of universal knots). This week we continue discussing branched covers of 3-manifolds and prove universal links exist. 
Branched covers IV
Series: Geometry Topology Working Seminar
Friday, November 3, 2017 - 13:55 , Location: Skiles 006 , John Etnyre , Georgia Tech , Organizer: John Etnyre
 In this series of talks I will introduce branched coverings of manifolds and sketch proofs of most the known results in low dimensions (such as every 3 manifold is a 3-fold branched cover over a knot in the 3-sphere and the existence of universal knots). This week we sstart discussing branched covers of 3-manifolds. 
Branched covers III
Series: Geometry Topology Working Seminar
Friday, October 27, 2017 - 13:00 , Location: Skiles 006 , John Etnyre , Georgia Tech , Organizer: John Etnyre

Notice the seminar is back to 1.5 hours this week. 

In this series of talks I will introduce branched coverings of manifolds and sketch proofs of most the known results in low dimensions (such as every 3 manifold is a 3-fold branched cover over a knot in the 3-sphere and the existence of universal knots). This week we should be able to finish our discussion of branched covers of surfaces and transition to 3-manifolds. 

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