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Geometry, Topology and Dynamics of Character Varieties
(18 Jun - 15 Aug 2010)
... Co-sponsored by Global COE (Center of Excellence) of the
Tokyo Institute of Technology, Compview
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Co-chairs
Members
This program concerns character varieties of representations in a Lie group G of a discrete group π, for example, the fundamental group of a surface. These varieties have rich geometry and are related to interesting topological objects such as locally homogeneous geometric structures on manifolds, and moduli spaces arising in gauge theory. When π is the fundamental group of a surface group S, the mapping class group acts with a complicated and mysterious dynamics.
Character varieties lie at the confluence of many important areas of mathematics including algebraic geometry, hyperbolic geometry, Kleinian groups, Teichmueller theory and three dimensional topology, dynamical systems, gauge theory, and number theory. Their study reveals many deep and rich connections between these fields. The program will bring together some of the leading experts from these different backgrounds to explain their subjects and explore connections between them, to report on the latest developments and to chart out new directions. It also aims to introduce various aspects of this important subject to graduate students and young researchers, discussing open problems and fostering future research in this area. It is hoped that participants will also profit from the opportunity to interact and experiment with computer experts during the program.
The following activities are planned:
Tutorials on background material / Summer school: 28 June - 16 July 2010
Tutorials will form the core of a summer school, with several series of tutorial lectures on relevant topics. Students and young postdocs from various parts of the world, including a significant portion from developing countries in Asia, will be invited to participate.
Tutorial Lecturers
- Javier Aramayona (National University of Ireland at Galway, Ireland)
- Todd Drumm (Howard University, USA)
- David Dumas (University of Illinois, Chicago, USA)
- Inkang Kim (KIAS, Korea)
- Francois Labourie (Université Paris-Sud, Orsay, France)
- Chris Leininger (University of Illinois, UC, USA)
- John Parker (University of Durham, UK)
- Eugene Xia (National Cheng Kung University, Taiwan)
- Yasushi Yamashita (Nara Women’s University, Japan)
- Ying Zhang (Suzhou University, China)
Workshop: 19 July - 30 July 2010 (An ICM Satellite Conference)
A series of survey talks by senior experts, complemented with shorter talks by young researchers, will outline new and interesting directions for research. We hope all participants will have the opportunity to present their work. Computer experimentation will be a significant part of the program, and the workshop will also include computer demonstrations.
Survey Speakers
- Steve Bradlow (University of Illinois, UC, USA)
- Kenneth Bromberg (University of Utah, USA)
- Richard Canary (University of Michigan, USA)
- SG Dani (Tata Institute of Fundamental Research, India)
- Craig Hodgson (The University of Melbourne, Australia)
- Steven Kerckhoff (Stanford University, USA)
- Sadayoshi Kojima (Tokyo Institute of Technology, Japan)
- Feng Luo (Rutgers University, USA)
- Jean-Marc Schlenker (Université Toulouse III, France)
- Caroline Series (University of Warwick, UK)
Conference: 10 August - 14 August 2010 (An ICM Satellite Conference)
Leading experts from around the world will speak on the main topics of the program.
Invited Speakers
- Jeff Brock (Brown University, USA)
- Serge Cantat (University de Rennes I, France)
- William Goldman (University of Maryland, USA)
- Francois Labourie (Université Paris-Sud, Orsay, France)
- Gaven Martin (Massey University, New Zealand)
- Mahan Mj (RKM Vivekananda University, India)
- Alan Reid (University of Texas, Austin, USA)
- Makoto Sakuma (Hiroshima University, Japan)
- Teruhiko Soma (Tokyo Metropolitan University, Japan)
- Shicheng Wang (Beijing University, China)
- Richard Wentworth (University of Maryland, USA)
- Mike Wolf (Rice University, USA)
- Scott Wolpert (University of Maryland, USA)
- Yair Minsky (Yale University, USA ) (To be confirmed)
- Walter Neumann (Columbia University, USA) (To be confirmed)
Online registration: An online registration form is under construction and will be available closer to the program.
The following do not need to register:
The Institute for Mathematical Sciences
invites applications for membership for participation in the
above program. Limited funds to cover travel and living
expenses are available to young scientists. Applications
should be received at least three (3) months before the
commencement of membership. Application form is available in
(MSWord|PDF|PS) format for download.
- More information is available by writing to:
- Secretary
Institute for Mathematical Sciences
National University of Singapore
3 Prince George's Park
Singapore 118402
Republic of Singapore
- or email to imssec(AT)nus.edu.sg.
For enquiries on scientific aspects of the program, please
email Ser Peow Tan at
mattansp(AT)nus.edu.sg.
Student registration for the summer school as well as other parts of the program will be available at a later date. Grants to cover travel and local subsistence costs will be awarded on a competitive basis.
Organizing Committee
· CVisitors and Participants
· Overview
Activities ·
Inquiries · Student Registration |
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