Sep 18, 2006
to
Sep 22, 2006
Organizer(s)
G. Carlsson, P. Diaconis, and S. Holmes
To apply for funding, you must
register by Mon, Jul 03 2006.
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).
Funding
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 |
|---|
| Monday, September 18, 2006 |
|
null |
Konstantin Mischaikow
|
|
|
9:00AM - 10:00AM |
Steve Smale
|
Reconstruction of Submanifolds of Euclidean Space from Random Data
[Video available]
|
|
10:00AM - 11:15AM |
Konstantin Mischaikow
|
Computational Homology and Spatially Explicit Nonlinear Systems
[Video available]
|
|
11:30AM - 12:00PM |
Melvin Leok
|
Discrete Exterior Calculas and its Apllication to Computational Electromagnetism
[Video available]
|
|
2:00PM - 3:00PM |
Thomas Wanner
|
Probabilistic and Numerical Validation of Homology Computations for Nodal Domains
[Video available]
|
|
3:45PM - 4:45PM |
Afra Zomorodian
|
Topological Analysis of Molecular Dynamics Simulations of Lipid Membrane Fusion
[Video available]
|
| Tuesday, September 19, 2006 |
|
9:00AM - 10:00AM |
Susan Holmes
|
Genes in Codon Space
[Video available]
|
|
10:15AM - 11:15AM |
John Harer
|
Image Segmentation and Persistence
[Video available]
|
|
2:00PM - 3:00PM |
Yusu Wang
|
Topological Methods in Protein Structure Analysis
[Video available]
|
|
3:45PM - 4:45PM |
Yuriy Mileyko
|
Persistence Based Measures of Gene Periodicity
[Video available]
|
| Wednesday, September 20, 2006 |
|
9:00AM - 10:00AM |
Sarah Day
|
Computational Topology in the Study of Dynamical Systems
[Video available]
|
|
10:15AM - 11:15AM |
William Kalies
|
Computational Conley Theory
[Video available]
|
|
2:00PM - 3:00PM |
Robert Ghrist
|
9/20-Talk on Application of Topology
[Video available]
|
| Thursday, September 21, 2006 |
|
9:00AM - 10:00AM |
Jonathan Taylor
|
The Inegral Geometry of Random Sets
[Video available]
|
|
10:15AM - 11:15AM |
Persi Diaconis
|
9/21-Talk on Application of Toplogy
[Video available]
|
|
11:30AM - 12:00PM |
Arthur Jamshidi
|
Geometric Representation of High Dimension Scattered Data as Graph of Functions
[Video available]
|
|
12:00PM - 12:45PM |
Peter Saveliev
|
Homolgy of Color Images
[Video available]
|
|
2:00PM - 3:00PM |
Peter Bubenik
|
A Stistical approach to Persistent Homology
[Video available]
|
|
3:45PM - 4:45PM |
Steve Oudot
|
Reconstruction Using Witness Complexes
[Video available]
|
| Friday, September 22, 2006 |
|
9:00AM - 10:00AM |
Vin de Silva
|
Persistent Cohomology and its Applications
[Video available]
|
|
10:15AM - 11:15AM |
Andrew Blumberg
|
9/22-Talk on Application of Topology
[Video available]
|
|
2:00PM - 3:00PM |
Gunnar Carlsson
|
Geometry of Patch spaces and Image Compression
[Video available]
|
Parent Program(s):
Computational Applications of Algebraic Topology
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