Home /  Workshop on Application of Topology in Science and Engineering


Workshop on Application of Topology in Science and Engineering September 18, 2006 - September 22, 2006
Registration Deadline: September 11, 2006 almost 18 years ago
To apply for Funding you must register by: June 18, 2006 about 18 years ago
Parent Program:
Organizers G. Carlsson, P. Diaconis, and S. Holmes

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It is becoming increasingly clear that algebraic topology can be applied effectively in to a number of applied problems in science and engineering. Some of these problems are: Protein docking Algorithmic and geometric problems in robotics Exploratory and qualitative analysis of high-dimensional data sets Coverage and routing problems for networks of sensors Analysis of chaotic non-linear dynamical systems The purpose of this workshop is to survey the state of the various applications, to allow the investigators to share ideas about them, and to generate new applications. Both mathematicians as well as practitioners in science and engineering are invited to participate, so that new classes of problems can be proposed as candidates for the use of algebraic topological methods. Invited speakers include: Steve Smale (University of California, Berkeley), Susan Holmes (Stanford University), Sarah Day (Cornell University), Jonathan Taylor (Stanford University), Steve Yann Oudot (Stanford University), Konstantin Mischaikow (Georgia Institute of Technology) , John Harer (Duke University),William Kalies (Florida Atlantic University), Persi Diaconis (Stanford University), Andrew Blumberg (Stanford University), Thomas Wanner (George Mason University), Gunnar Clarson (Stanford University), Robert Ghrist (,University of Illinois), Peter Bubenik (Cleveland State University), Yusu Wang (Ohio State University), Afra Zomorodian (Dartmouth College),Yuriy Mileyko (Duke University), Tigran Ishkanov (Stanford University), Facundo Mémoli (Stanford University), Vin de Silva (Stanford University).
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 18, 2006
All Day
Konstantin Mischaikow (Rutgers University)
09:00 AM - 10:00 AM
  Reconstruction of Submanifolds of Euclidean Space from Random Data
Steve Smale (University of California, Berkeley)
10:00 AM - 11:15 AM
  Computational Homology and Spatially Explicit Nonlinear Systems
Konstantin Mischaikow (Rutgers University)
11:30 AM - 12:00 PM
  Discrete Exterior Calculus and its Applications to Computational Electromagnetism
Melvin Leok (University of California, San Diego)
02:00 PM - 03:00 PM
  Probabilistic and Numerical Validation of Homology Computations for Nodal Domains
Thomas Wanner
03:45 PM - 04:45 PM
  Topological Analysis of Molecular Dynamics Simulations of Lipid Membrane Fusion
Afra Zomorodian
Sep 19, 2006
09:00 AM - 10:00 AM
  Genes in Codon Space
Susan Holmes (Stanford University)
10:15 AM - 11:15 AM
  Image Segmentation and Persistence
John Harer
02:00 PM - 03:00 PM
  Topological Methods in Protein Structure Analysis
Yusu Wang (Univ. California, San Diego)
03:45 PM - 04:45 PM
  Persistence Based Measures of Gene Periodicity
Yuriy Mileyko
Sep 20, 2006
09:00 AM - 10:00 AM
  Computational Topology in the Study of Dynamical Systems
Sarah Day
10:15 AM - 11:15 AM
  Computational Conley Theory
William Kalies
02:00 PM - 03:00 PM
  9/20-Talk on Application of Topology
Robert Ghrist
Sep 21, 2006
09:00 AM - 10:00 AM
  The Inegral Geometry of Random Sets
Jonathan Taylor
10:15 AM - 11:15 AM
  9/21-Talk on Application of Toplogy
Persi Diaconis (Stanford University)
11:30 AM - 12:00 PM
  Geometric Representation of High Dimension Scattered Data as Graph of Functions
Arthur Jamshidi
12:00 PM - 12:45 PM
  Homolgy of Color Images
Peter Saveliev
02:00 PM - 03:00 PM
  A Stistical approach to Persistent Homology
Peter Bubenik (University of Florida)
03:45 PM - 04:45 PM
  Reconstruction Using Witness Complexes
Steve Oudot
Sep 22, 2006
09:00 AM - 10:00 AM
  Persistent Cohomology and its Applications
Vin de Silva
10:15 AM - 11:15 AM
  9/22-Talk on Application of Topology
Andrew Blumberg (Columbia University)
02:00 PM - 03:00 PM
  Geometry of Patch spaces and Image Compression
Gunnar Carlsson (Stanford University)