Workshop on Computational Homology and Dynamics
Department of Mathematics & Statistics, University of Canterbury
Friday 13 August - Sunday 15 August, 2010
Organiser:
Professor Konstantin Mischaikow
Department of Mathematics, Rutgers University
Piscataway, NJ, USA
Local organisers:
Speakers:
- Zin Arai, Hokkaido University
- Tomas Gedeon, Montana State University
- Tomek Kaczynski, Sherbrooke University
- Hiroshi Kokubu, Kyoto University
- Konstantin Mischaikow, Rutgers University
- Marian Mrozek, Jagiellonian University
- Hiroe Oka, Ryukoku University
Description:
The workshop will be on theory, methods and applications of computational homology to problems in dynamical systems. The main emphasis will be on nonlinear dynamics, but from a topological and combinatorial framework. Examples of applications to topics from Biology, Materials Science, Fluid Flow, and Granular Flow will be given, depending on the interests of the participants.
More details:
Algebraic topology, especially homology, provides a rigorous computational framework in which discrete local data can provide information about global structure of nonlinear objects and maps. The past decade has witnessed tremendous advancements in computational topological techniques. This includes new concepts, algorithms and code. This workshop will bring together a variety of speakers with different expertise ranging from computational homology to the analysis of image- and time series data to computational dynamics. The goal will be to provide an introduction to some of the concepts, techniques and applications of this growing subject. The tentative list of specific topics that will be covered includes:
- Efficient algorithms for computing homology
- Conley index theory
- Image processing
- Analysis and quantification of patterns in fluids and granular flow
- Computational analysis of nonlinear dynamics arising from biological models
The lectures will describe the algorithms involved, and online links to the corresponding software will be made available.
The workshop will be held in Room 445 of the Erskine Building.
Program:
| Friday | Speaker | Saturday | Speaker | Sunday | Speaker |
| 10:00 - 11:00 11:00 - 11:30 11:30 - 12:30 12:30 - 14:10 14:10 - 15:10 15:10 - 16:10 16:10 - 16:40 16:40 - 17:40 18:30 - |
Hiroshi Kokubu Tea Hiroe Oka Lunch Tomas Gedeon Marian Mrozek Tea Zin Arai Conference Dinner |
09:30 - 10:30 10:30 - 11:00 11:00 - 12:00 12:00 - 14:00 14:00 - 15:00 15:00 - 15:30 15:30 - 16:30 16:30 - |
Tomas Gedeon Tea Marian Mrozek Lunch Zin Arai Tea Hiroshi Kokubu Discussion sessions with Speakers |
10:00 - 11:00 11:00 - 11:30 11:30 - 12:30 |
Tomas Kaczynski Tea Konstantin Mischaikow |
Abstracts:
The abstracts can be downloaded here: Speakers.pdf (PDF, 30KB)
Student support:
We actively encourage participation from graduate and senior undergraduate students. There will be limited funding to help cover the travel and accommodation expenses of New Zealand students. See Registration section below for details of how to apply.
Contact for information:
Dr Mike Plank
Email: M.Plank@math.canterbury.ac.nz
Telephone: +64 3 364-2699
Fax: +64 3 364 2587
Registration:
There is no registration fee.
New Zealand students who want to apply for support must complete the application form: Word version(24KB) / PDF version (77KB), and send it to Mike Plank by 21 July.
Other participants should email Mike Plank by 1 August stating name, affiliation, email address, days on which they will attend and main area of interest (e.g., Biology, Materials Science, Fluid Flow, Granular Flow).
Acknowledgements:
We would like to acknowledge funding from NZIMA and the Mathematics and Statistics Department, University of Canterbury.