Mathematical Sciences Research Institute - Workshop on Application of Topology in Science and Engineering

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).

Schedule
	Mon. 18th	Tues. 19th	Wed. 20th	Thu. 21st	Fri. 22nd
9:00-10:00	Smale	Holmes	Day	Taylor	Mémoli
Break
10:15-11:15	Mischaikow	Harer	Kalies	Diaconis	Blumberg
Break
11:30-12:15	Cont. talks	Cont. talks	Cont. talks	Cont. talks	Cont. talks
Lunch
2:00-3:00	Wanner	Carlsson	Ghrist	Bubenik	Wang
3:00-3:45	Tea	Tea	Tea	Tea	Tea
3:45-4:45	Zomorodian	Mileyko	Ishkanov	Oudot	de Silva

A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: K10000. The cut-off date for reservations is August 18, 2006.

A block of rooms has been reserved at the Rose Garden Inn. Please reference the following Group Code when making reservations via phone, e-mail or web (if booking via web, put the code in the Guest Comment field): CGMS32. The cut-off date for reservations is August 18, 2006.

Currently Available Videos

Steve Smale , Reconstruction of Submanifolds of Euclidean Space from Random Data September 18,2006, 09:00 AM to 10:00 AM
Konstantin Mischaikow , Computational Homology and Spatially Explicit Nonlinear Systems September 18,2006, 10:00 AM to 11:15 AM
Melvin Leok , Discrete Exterior Calculas and its Apllication to Computational Electromagnetism September 18,2006, 11:30 AM to 12:00 PM
Thomas Wanner , Probabilistic and Numerical Validation of Homology Computations for Nodal Domains September 18,2006, 02:00 PM to 03:00 PM
Afra Zomorodian , Topological Analysis of Molecular Dynamics Simulations of Lipid Membrane Fusion September 18,2006, 03:45 PM to 04:45 PM
Susan Holmes , Genes in Codon Space September 19,2006, 09:00 AM to 10:00 AM
John Harer , Image Segmentation and Persistence September 19,2006, 10:15 AM to 11:15 AM
Yusu Wang , Topological Methods in Protein Structure Analysis September 19,2006, 02:00 PM to 03:00 PM
Yuriy Mileyko , Persistence Based Measures of Gene Periodicity September 19,2006, 03:45 PM to 04:45 PM
Sarah Day , Computational Topology in the Study of Dynamical Systems September 20,2006, 09:00 AM to 10:00 AM
William Kalies , Computational Conley Theory September 20,2006, 10:15 AM to 11:15 AM
Robert Ghrist , 9/20-Talk on Application of Topology September 20,2006, 02:00 PM to 03:00 PM
Tigran Ishkhanov , Toplogy of Neuroscience Data September 20,2006, 03:45 PM to 04:45 PM
Jonathan Taylor , The Inegral Geometry of Random Sets September 21,2006, 09:00 AM to 10:00 AM
Persi Diaconis , 9/21-Talk on Application of Toplogy September 21,2006, 10:15 AM to 11:15 AM
Arthur Jamshidi , Geometric Representation of High Dimension Scattered Data as Graph of Functions September 21,2006, 11:30 AM to 12:00 PM
Peter Saveliev , Homolgy of Color Images September 21,2006, 12:00 PM to 12:45 PM
Peter Bubenik , A Stistical approach to Persistent Homology September 21,2006, 02:00 PM to 03:00 PM
Steve Oudot , Reconstruction Using Witness Complexes September 21,2006, 03:45 PM to 04:45 PM
Vin de Silva , Persistent Cohomology and its Applications September 22,2006, 09:00 AM to 10:00 AM
Andrew Blumberg , 9/22-Talk on Application of Topology September 22,2006, 10:15 AM to 11:15 AM
Gunnar Carlsson , Geometry of Patch spaces and Image Compression September 22,2006, 02:00 PM to 03:00 PM

You can find videos of other workshops and events on our VMath - Streaming Video page.

For more information:
Questions about this workshop should be sent either by email to

381@msri.org

or by regular mail to:

Workshop on Application of Topology in Science and Engineering 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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Workshop on Application of Topology in Science and Engineering

Schedule

Currently Available Videos