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Workshop

Introductory Workshop on Computational Application of Algebraic Topology September 05, 2006 - September 08, 2006
Registration Deadline: September 08, 2006 over 8 years ago
To apply for Funding you must register by: June 05, 2006 over 8 years ago
Parent Program: Computational Applications of Algebraic Topology
Organizers G. Carlsson, P. Diaconis, G. M. Ziegler
Speaker(s)

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Description

Algebraic Topology is not only a highly-deveolped “abstract” field of “pure” Mathematics – it also offers an effective and versatile toolbox for applications in diverse fields such as Combinatoics, Discrete Geometry, Statistics and Data Analysis. Some of these applications rely on topological ideas, concepts and theorems that allow one to measure hidden "topological" structures, such as connectivity or obstructions to mapping. Others rely on the explicit computation of topological invariants, such as homology or linking numbers. The goal of the Introductory Worskshop for the MSRI program will be to survey the "Algebraic Topology toolbox" from the view of applications, and to present areas of current interest where topological tools have been applied, are being employed or should be brought into play. Invited speakers include: Robert Ghrist (University of Illinois), Sergio Rajsbaum (Universidad Nacional Autonoma de Mexico), Konstantin Mischaikow (Georgia Institute of Technology), Shmuel Weinberger (New York University), John Harer (Duke University), Susan Holmes (Stanford University), Gunnar Carlsson (Stanford University), Guenter Ziegler (Technische Universität, Berlin), Eric Babson (University of Washington), Persi Diaconis (Stanford University), Yuliy Baryshnikov (Bell Laboratories), Rade Zivaljevic (Mathematical Institute SANU Belgrade).

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Tuesday, September 5 9:30 - 10:30 Robert Ghrist 10:30 - 11:00 Morning Break 11:00 - 12:00 Günter Ziegler 12:00 - 1:30 Lunch 1:30 - 2:30 Sergio Rajsbaum 2:30 - 3:30 Konstantin Mischaikow 3:30 - 4:00 Afternoon Break 4:00 - 5:00 Shmuel Weinberger 5:00 - 6:00 Reception Wednesday, September 6 9:30 - 10:30 Robert Ghrist 10:30 - 11:00 Morning Break 11:00 - 12:00 Rade Zivaljevic 12:00 - 2:30 Lunch 2:30 - 3:30 Konstantin Mischaikow 3:30 - 4:00 Afternoon Break 4:00 - 5:00 Susan Holmes Thursday, September 7 9:30 - 10:30 Gunnar Carlsson 10:30 - 11:00 Morning Break 11:00 - 12:00 Eric Babson 12:00 - 1:30 Lunch 1:30 - 2:30 Bob MacPherson 2:30 - 3:30 Persi Diaconis 3:30 - 4:00 Afternoon Break 4:00 - 5:00 Contributed Talk: Rima Izem Friday, September 8 9:30 - 10:30 Gunnar Carlsson 10:30 - 11:00 Morning Break 11:00 - 12:00Yuliy Baryshnikov 12:00 - 1:30 Lunch 1:30 - 2:30 Persi Diaconis 2:30 - 3:15 Contributed Talk: Christian Laing 3:15 - 4:00 Contributed Talk: Steven Ellis


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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available.

A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

Additional lodging options (short term housing page - Short Term Housing

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Schedule
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Sep 05, 2006
Tuesday
09:30 AM - 10:30 AM
  Algebraic Topology for Sensor Networks
Robert Ghrist
11:00 AM - 12:00 PM
  Kneser and Tverberg: On the power of topological methods in Combinatorics
Gunter Ziegler (Freie Universität Berlin)
01:30 PM - 02:30 PM
  Algebraic Topology in Distributed Computing
Sergio Rajsbaum
02:30 PM - 03:30 PM
  Computational Topology and Dynamics
Konstantin Mischaikow
04:00 PM - 05:00 PM
  Computing the homology of a manifold from somewhat noisy random data.
Shmuel Weinberger (University of Chicago)
Sep 06, 2006
Wednesday
09:30 AM - 10:30 AM
  Topology for sensor networks
Robert Ghrist
11:00 AM - 12:00 PM
  Configuration Space – Test Map Scheme
Rade Zivaljevic
02:30 PM - 03:30 PM
  Computational Topology and Dynamics
Konstantin Mischaikow
04:00 PM - 05:00 PM
  Horseshoes and Spectral Methods for Detecting Hidden Variables
Susan Holmes (Stanford University)
Sep 07, 2006
Thursday
09:30 AM - 10:30 AM
  Algebraic Topology and High Dimensional Data Analysis
Gunnar Carlsson (Stanford University)
11:00 AM - 12:00 PM
  The Topology of Maps between Graphs
Eric Babson
01:30 PM - 02:30 PM
  The Geometry of Grains
Robert MacPherson
02:30 PM - 03:30 PM
  From Characterization to Algorithm
Persi Diaconis (Stanford University)
04:00 PM - 05:00 PM
  How to Describe Variations in Manifolds
rima izem
Sep 08, 2006
Friday
09:30 AM - 10:30 AM
  Algebraic Topology and High Dimensional Data Analysis
Gunnar Carlsson (Stanford University)
11:00 AM - 12:00 PM
  Topological Variants of Arrow Theorem
Yuliy Baryshnikov
01:30 PM - 02:30 PM
  Projection Purist: A Review and Extensions
Persi Diaconis (Stanford University)
02:30 PM - 03:30 PM
  Geometric Measures as RNA Shape Descriptions
Christian Laing
03:30 PM - 04:30 PM
  Singularity of Data Analytic Operators
Steven Ellis