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Wednesday, October 28, 2009 - 10:00 ,
Location: Skiles 255 ,
Shea Vela-Vick ,
Columbia University ,
Organizer: John Etnyre

Here we will introduce the basic definitions of bordered Floer homology. We will discuss bordered Heegaard diagrams as well as the algebraic objects, like A_\infinity algebras and modules, involved in the theory. We will also discuss the pairing theorem which states that if Y = Y_1 U_\phi Y_2 is obtained by identifying the (connected) boundaries of Y_1 and Y_2, then the closed Heegaard Floer theory of Y can be obtained as a suitable tensor product of the bordered theories of Y_1 and Y_2.Note the different time and place!This is a 1.5 hour talk.

Monday, October 26, 2009 - 10:00 ,
Location: Skiles 255 ,
Shea Vela-Vick ,
Columbia University ,
Organizer: John Etnyre

We will focus on the "toy model" of bordered Floer homology. Loosely speaking, this is bordered Floer homology for grid diagrams of knots. While the toy model unfortunately does not provide us with any knot invariants, it highlights many of the key ideas needed to understand the more general theory.
Note the different time and place!
This is a 1.5 hour talk.

Friday, October 23, 2009 - 15:00 ,
Location: Skiles 269 ,
Amey Kaloti ,
Georgia Tech ,
Organizer:

This is a 2 hour talk.

Abstract: Heegaard floer homology is an invariant of closed 3 manifolds defined by Peter
Ozsvath and Zoltan Szabo. It has proven to be a very strong invariant of 3 manifolds with
connections to contact topology. In these talks we will try to define the Heegaard Floer
homology without assuming much background in low dimensional topology. One more goal is
to present the combinatorial description for this theory.

Friday, October 16, 2009 - 15:00 ,
Location: Skiles 169 ,
Amey Kaloti ,
Georgia Tech ,
Organizer:

This is a 2-hour talk.

Heegaard floer homology is an invariant of closed 3 manifolds defined by Peter
Ozsvath and Zoltan Szabo. It has proven to be a very strong invariant of 3 manifolds with
connections to contact topology. In these talks we will try to define the Heegaard Floer
homology without assuming much background in low dimensional topology. One more goal is
to present the combinatorial description for this theory.

Friday, October 9, 2009 - 15:00 ,
Location: Skiles 269 ,
Igor Belegradek ,
Georgia Tech ,
Organizer:

This 2 hour talk is a gentle introduction to simply-connected sugery
theory (following classical work by Browder, Novikov, and Wall). The
emphasis will be on classification of high-dimensional manifolds and
understanding concrete examples.

Friday, October 2, 2009 - 15:00 ,
Location: Skiles 269 ,
Igor Belegradek ,
Georgia Tech ,
Organizer:
This 2 hour talk is a gentle introduction to simply-connected sugery theory (following classical work by Browder, Novikov, and Wall). The emphasis will be on classification of high-dimensional manifolds and understanding concrete examples.

Friday, September 25, 2009 - 15:00 ,
Location: Skiles 269 ,
Anh Tran ,
Georgia Tech ,
Organizer:

(This is a 2 hour lecture.)

In this talk I will give a quick review of classical invariants of
Legendrian knots in a 3-dimensional contact manifold (the topological knot type, the
Thurston-Bennequin invariant and the rotation number). These classical invariants do not
completely determine the Legendrian isotopy type of Legendrian knots, therefore we will
consider Contact homology (aka Chekanov-Eliashberg DGA), a new invariant that has been
defined in recent years. We also discuss the linearization of Contact homology, a method
to extract a more computable invariant out of the DGA associated to a Legendrian knot.

Friday, September 18, 2009 - 14:00 ,
Location: Skiles 269 ,
John Etnyre ,
Georgia Tech ,
Organizer:

We will discuss how to put a hyperbolic structure on various surface and 3-manifolds. We will being by discussing isometries of hyperbolic space in dimension 2 and 3. Using our understanding of these isometries we will explicitly construct hyperbolic structures on all close surfaces of genus greater than one and a complete finite volume hyperbolic structure on the punctured torus. We will then consider the three dimensional case where we will concentrate on putting hyperbolic structures on knot complements. (Note: this is a 1.5 hr lecture)

Friday, September 11, 2009 - 15:00 ,
Location: Skiles 269 ,
John Etnyre ,
Georgia Tech ,
Organizer:

We will discuss how to put a hyperbolic structure on various
surface and 3-manifolds. We will being by discussing isometries of hyperbolic space in
dimension 2 and 3. Using our understanding of these isometries we will explicitly
construct hyperbolic structures on all close surfaces of genus greater than one and a
complete finite volume hyperbolic structure on the punctured torus. We will then consider
the three dimensional case where we will concentrate on putting hyperbolic structures on
knot complements. (Note: this is a 2 hr seminar)

Friday, April 24, 2009 - 15:00 ,
Location: Skiles 269 ,
Thang Le ,
School of Mathematics, Georgia Tech ,
Organizer: John Etnyre

These are two hour lectures.

We will develop general theory of quantum invariants based on sl_2 (the simplest Lie algebra): The Jones polynomials, the colored Jones polynomials, quantum sl_2 groups, operator invariants of tangles, and relations with the Alexander polynomial and the A-polynomials. Optional: Finite type invariants and the Kontsevich integral.