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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 18 years ago
To apply for Funding you must register by: June 05, 2006 over 18 years ago
Parent Program:
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). View Schedule 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
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, 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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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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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
Günter 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 (Rutgers University)
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 (Mathematical Institute of the Serbian Academy of Sciences and Arts)
02:30 PM - 03:30 PM
  Computational Topology and Dynamics
Konstantin Mischaikow (Rutgers University)
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 (University of California, Davis)
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 (Columbia University)