Talk will be from the "Geometry Topology Seminar" series
- Series
- Geometry Topology Working Seminar
- Time
- Friday, January 28, 2011 - 14:00 for 1 hour (actually 50 minutes)
- Location
- none
- Speaker
- none – none
- You are here:
- Home
- News & Events
Non-commutative Geometry VI - Riemannian Geometry of Ultrametric Cantor Sets
- Series
- Geometry Topology Working Seminar
- Time
- Friday, December 10, 2010 - 14:00 for 2 hours
- Location
- Skiles 171
- Speaker
- Jean Bellissard – Ga Tech
Please Note: Note this is a two hour seminar.
In this lecture the analog of Riemannian manifold will be introduced through the notion of spectral triple. The recent work on the case of a metric Cantor set, endowed with an ultrametric, will be described in detail during this lecture. An analog of the Laplace Beltrami operator for a metric Cantor set will be defined and studied.
Non-commutative Geometry V - Riemannian Geometry of Ultrametric Cantor Sets
- Series
- Geometry Topology Working Seminar
- Time
- Friday, December 3, 2010 - 14:00 for 2 hours
- Location
- Skiles 171
- Speaker
- Jean Bellissard – Ga Tech
Please Note: This will be a 2 hour talk.
In this lecture the analog of Riemannian manifold will be introduced through the notion of spectral triple. The recent work on the case of a metric Cantor set, endowed with an ultrametric, will be described in detail during this lecture. An analog of the Laplace Beltrami operator for a metric Cantor set will be defined and studied
Talk will be from the "Geometry Topology Seminar" series
- Series
- Geometry Topology Working Seminar
- Time
- Friday, November 19, 2010 - 14:00 for 1 hour (actually 50 minutes)
- Location
- None
- Speaker
- None – None
Non-commutative Geometry IV - Crossed products: the noncommutative torus
- Series
- Geometry Topology Working Seminar
- Time
- Friday, November 12, 2010 - 14:00 for 2 hours
- Location
- Skiles 171
- Speaker
- Jean Bellissard – Ga Tech
Please Note: Note this is a 2 hour talk.
In this lecture, we will look at the notion of crossed product by a group action. The example of the non commutative torus will be considered in detail. The analog of vector fields, vector bundle and connection will be introduced from this example. Some example of connection will be described and the curvature will be computed.
Talk will be from the "Geometry Topology Seminar" series
- Series
- Geometry Topology Working Seminar
- Time
- Friday, November 5, 2010 - 14:00 for 1 hour (actually 50 minutes)
- Location
- none
- Speaker
- none – none
Non-commutative Geometry III: Crossed Product and Orbit Space of Group Actions
- Series
- Geometry Topology Working Seminar
- Time
- Friday, October 29, 2010 - 14:00 for 2 hours
- Location
- Skiles 171
- Speaker
- Jean Bellissard – Ga Tech
Please Note: Note this is a 2 hour talk.
An action of the real line on a compact manifold defines a topological dynamical system. The set of orbits might be very singular for the quotient topology. It will be shown that there is, however, a C*-algebra, called the crossed product, which encodes the topology of the orbit space. The construction of this algebra can be done for an group action, if the group is locally compact.
Non-commutative Geometry II
- Series
- Geometry Topology Working Seminar
- Time
- Friday, October 15, 2010 - 14:00 for 2 hours
- Location
- Skiles 171
- Speaker
- Jean Bellissard – Ga Tech
Please Note: Note this is a 2 hour talk.
This series of lecture will try to give some basic facts about Noncommutative Geometry for the members of the School of Mathematics who want to learn about it. In the first lecture, the basics tools will be presented, (i) the philosophy and the notion of space, and (ii) the notion of C*-algebra, (iii) groupoids. As many examples as possible will be described to illustrate the purpose. In the following lectures, in addition to describing these tools more thoroughly, two aspects can be developed depending upon the wishes of the audience: A- Topology, K-theory, cyclic cohomology B- Noncommutative metric spaces and Riemannian Geometry.
Non-commutative Geometry I
- Series
- Geometry Topology Working Seminar
- Time
- Friday, October 8, 2010 - 14:00 for 2 hours
- Location
- Skiles 171
- Speaker
- Jean Bellissard – Ga Tech
Please Note: Note this is a 2 hour talk (with a short break in the middle).
This series of lecture will try to give some basic facts about Noncommutative Geometry for the members of the School of Mathematics who want to learn about it. In the first lecture, the basics tools will be presented, (i) the philosophy and the notion of space, and (ii) the notion of C*-algebra, (iii) groupoids. As many examples as possible will be described to illustrate the purpose. In the following lectures, in addition to describing these tools more thoroughly, two aspects can be developed depending upon the wishes of the audience: A- Topology, K-theory, cyclic cohomology B- Noncommutative metric spaces and Riemannian Geometry.
Heegaard-Floer Theory by examples
- Series
- Geometry Topology Working Seminar
- Time
- Friday, October 1, 2010 - 14:00 for 2 hours
- Location
- Skiles 171
- Speaker
- John Etnyre and/or Amey Kaloti – Ga Tech
In this talk we will give an introduction of Heegaard-Floer theory through examples. By exploring several explicit examples we hope to show that various aspects of the definitions that seem complicated, really aren't too bad and it really is possible to work with these fairly abstract things. While this is technically a continuation of last weeks talk, we will review enough material so that this talk should be self contained.