# Mathematical Sciences Research Institute

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# Workshop

Workshop on Application of Topology in Science and Engineering September 18, 2006 - September 22, 2006
 Registration Deadline: September 11, 2006 over 7 years ago June 18, 2006 almost 8 years ago
Parent Program: Computational Applications of Algebraic Topology
Organizers G. Carlsson, P. Diaconis, and S. Holmes
Speaker(s)

## Show List of Speakers

Description

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:

1. Protein docking
2. Algorithmic and geometric problems in robotics
3. Exploratory and qualitative analysis of high-dimensional data sets
4. Coverage and routing problems for networks of sensors
5. 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 & Logistics

## Show Funding

To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, 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.

## Show Lodging

MSRI has preferred rates at the Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability. MSRI has preferred rates of$149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri. MSRI has preferred rates of$110 - \$140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

## Show Visa/Immigration

Schedule
Sep 18, 2006
Monday
 All Day Konstantin Mischaikow 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 11:30 AM - 12:00 PM Discrete Exterior Calculas and its Apllication to Computational Electromagnetism Melvin Leok 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
Tuesday
 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 03:45 PM - 04:45 PM Persistence Based Measures of Gene Periodicity Yuriy Mileyko
Sep 20, 2006
Wednesday
 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
Thursday
 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 03:45 PM - 04:45 PM Reconstruction Using Witness Complexes Steve Oudot
Sep 22, 2006
Friday
 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 (University of Texas) 02:00 PM - 03:00 PM Geometry of Patch spaces and Image Compression Gunnar Carlsson (Stanford University)