Seminars and Colloquia by Series

Building Morse/Floer type homology theories II

Series
Geometry Topology Working Seminar
Time
Friday, February 10, 2017 - 14:00 for 1.5 hours (actually 80 minutes)
Location
Skiles 006
Speaker
John Etnyre – Georgia Tech

Please Note: Note the semianr scheduled for 1.5 hours. (We might take a short break in the middle and then go slightly longer.)

In this series of talks I will descibe a general proceedure to construct homology theories using analytic/geometric techiques. We will then consider Morse homology in some detail and a simple example of this process. Afterwords we will consider other situations like Floer theory and possibly contact homology.

Building Morse/Floer type homology theories

Series
Geometry Topology Working Seminar
Time
Friday, February 3, 2017 - 14:00 for 1.5 hours (actually 80 minutes)
Location
Skiles 006
Speaker
John Etnyre – Georgia Tech

Please Note: Note the semianr scheduled for 1.5 hours. (We might take a short break in the middle and then go slightly longer.)

In this series of talks I will descibe a general proceedure to construct homology theories using analytic/geometric techiques. We will then consider Morse homology in some detail and a simple example of this process. Afterwords we will consider other situations like Floer theory and possibly contact homology.

Legendrian Contact Homology

Series
Geometry Topology Working Seminar
Time
Friday, November 4, 2016 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
John Etnyre – Georgia Tech
I will give 2 or 3 lectures on Legendrian contact homology. This invariant has played a big role in our understanding of Legendrian submanifolds of contact manifolds in all dimensions. We will discuss the general definition but focus on the 3-dimensional setting where it easiest to compute (and describe Legendrian knots). I will also discuss the A^\infty structure associated to the linearized co-chain groups of contact homology.

Legendrian Contact Homology

Series
Geometry Topology Working Seminar
Time
Friday, October 28, 2016 - 14:00 for 1.5 hours (actually 80 minutes)
Location
Skiles 006
Speaker
John Etnyre – Georgia Tech
I will give 2 or 3 lectures on Legendrian contact homology. This invariant has played a big role in our understanding of Legendrian submanifolds of contact manifolds in all dimensions. We will discuss the general definition but focus on the 3-dimensional setting where it easiest to compute (and describe Legendrian knots). I will also discuss the A^\infty structure associated to the linearized co-chain groups of contact homology.

Notions of knot concordance II

Series
Geometry Topology Working Seminar
Time
Friday, October 14, 2016 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Jennifer Hom – Georgia Tech
The knot concordance group consists of knots in the three-sphere modulo the equivalence relation of smooth concordance. We will discuss two concordance invariants coming from knot Floer homology: tau and epsilon.

Notions of knot concordance

Series
Geometry Topology Working Seminar
Time
Friday, October 7, 2016 - 14:00 for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Jennifer Hom – Georgia Tech
The knot concordance group consists of knots in the three-sphere modulo the equivalence relation of smooth concordance. We will discuss varies ways to weaken the equivalence relation (e.g., considering locally flat concordances or concordances in more general four-manifolds) and what is known and unknown about the differences between the resulting groups.

Geometric Small Cancellation

Series
Geometry Topology Working Seminar
Time
Wednesday, October 5, 2016 - 10:05 for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Shane Scott – Georgia Tech
In this lecture series, held jointly (via video conference) with the University of Buffalo and the University of Arkansas, we aim to understand the lecture notes by Vincent Guirardel on geometric small cancellation. The lecture notes can be found here: https://perso.univ-rennes1.fr/vincent.guirardel/papiers/lecture_notes_pcmi.pdf This week we will begin Lecture 4.

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