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Introductory Workshop on Computational Application of Algebraic Topology
Sep 5, 2006 to Sep 8, 2006

Organizer(s)

G. Carlsson, P. Diaconis, G. M. Ziegler
To apply for funding, you must register by Fri, Sep 08 2006.
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

Funding

To apply for funding, you must register by Fri, Sep 08 2006. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Schedule
Tuesday, September 05, 2006
9:30AM - 10:30AM Robert Ghrist Algebraic Topology for Sensor Networks [Video available]
11:00AM - 12:00PM Gunter Ziegler Kneser and Tverberg: On the power of topological methods in Combinatorics [Video available]
1:30PM - 2:30PM Sergio Rajsbaum Algebraic Topology in Distributed Computing [Video available]
2:30PM - 3:30PM Konstantin Mischaikow Computational Topology and Dynamics [Video available]
4:00PM - 5:00PM Shmuel Weinberger Computing the homology of a manifold from somewhat noisy random data. [Video available]
Wednesday, September 06, 2006
9:30AM - 10:30AM Robert Ghrist Topology for sensor networks [Video available]
11:00AM - 12:00PM Rade Zivaljevic Configuration Space – Test Map Scheme [Video available]
2:30PM - 3:30PM Konstantin Mischaikow Computational Topology and Dynamics [Video available]
4:00PM - 5:00PM Susan Holmes Horseshoes and Spectral Methods for Detecting Hidden Variables [Video available]
Thursday, September 07, 2006
9:30AM - 10:30AM Gunnar Carlsson Algebraic Topology and High Dimensional Data Analysis [Video available]
11:00AM - 12:00PM Eric Babson The Topology of Maps between Graphs [Video available]
1:30PM - 2:30PM Robert MacPherson The Geometry of Grains [Video available]
2:30PM - 3:30PM Persi Diaconis From Characterization to Algorithm [Video available]
4:00PM - 5:00PM rima izem How to Describe Variations in Manifolds [Video available]
Friday, September 08, 2006
9:30AM - 10:30AM Gunnar Carlsson Algebraic Topology and High Dimensional Data Analysis [Video available]
11:00AM - 12:00PM Yuliy Baryshnikov Topological Variants of Arrow Theorem [Video available]
1:30PM - 2:30PM Persi Diaconis Projection Purist: A Review and Extensions [Video available]
2:30PM - 3:30PM Christian Laing Geometric Measures as RNA Shape Descriptions [Video available]
3:30PM - 4:30PM Steven Ellis Singularity of Data Analytic Operators [Video available]
Parent Program(s):
Computational Applications of Algebraic Topology


Questions about this workshop should be sent either by email to
or by regular mail to:
Introductory Workshop on Computational Application of Algebraic Topology
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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