| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
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| Initial Amendment Date: | April 23, 2013 |
| Latest Amendment Date: | April 23, 2013 |
| Award Number: | 1331129 |
| Award Instrument: | Standard Grant |
| Program Manager: |
Joanna Kania-Bartoszynska
jkaniaba@nsf.gov (703)292-4881 DMS Division Of Mathematical Sciences MPS Direct For Mathematical & Physical Scien |
| Start Date: | June 1, 2013 |
| End Date: | May 31, 2014 (Estimated) |
| Total Intended Award Amount: | $33,000.00 |
| Total Awarded Amount to Date: | $33,000.00 |
| Funds Obligated to Date: |
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| History of Investigator: |
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| Recipient Sponsored Research Office: |
Blumenthal Hall, Suite 206 Newark NJ US 07102-1896 (973)972-0283 |
| Sponsor Congressional District: |
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| Primary Place of Performance: |
Marseilles FR |
| Primary Place of Performance Congressional District: |
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| Unique Entity Identifier (UEI): |
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| Parent UEI: |
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| NSF Program(s): | TOPOLOGY |
| Primary Program Source: |
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| Program Reference Code(s): |
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| Program Element Code(s): |
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| Award Agency Code: | 4900 |
| Fund Agency Code: | 4900 |
| Assistance Listing Number(s): | 47.049 |
ABSTRACT
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The special program on the Geometry of Outer space will be hosted by the Aix Marseille Universite. It will include a summer school and introductory workshop June 24-29, 2013 and a research program July 1-28, 2013. The summer school will include four lecture series, as well as several research talks. The research program will include a minimum of five weekly seminars, as well as discussion groups.
One can often better understand an abstract group by viewing it as the group of distance-preserving functions of a geometric object, such as the group of symmetries of a crystal. We will focus on two particular examples. We will focus on how the geometry of a surface's Teichmuller space has been used to study its mapping class group. And, in analogy, we will explore using the Outer space for a free group to study its outer automorphism group. To do this we will bring together many of the world's experts in both Teichmuller theory and in outer automorphism groups of free groups.
More details can be seen at http://www.latp.univ-mrs.fr/~catherine.pfaff/GOS.html
PROJECT OUTCOMES REPORT
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Disclaimer
This Project Outcomes Report for the General Public is displayed verbatim as submitted by the Principal Investigator (PI) for this award. Any opinions, findings, and conclusions or recommendations expressed in this Report are those of the PI and do not necessarily reflect the views of the National Science Foundation; NSF has not approved or endorsed its content.
The workshop and conference met in Marseilles, France for 3 weeks. The activities began with a series of workshops* on foundational material in the study of the outer automorphism group of a rank n free group, denoted Out(F_n). These workshops were primarily aimed at graduate students and post-docs but with an additional opportunity for advanced researchers to increase their overall knowlede of the subject. Later activities included a conference of lectures* on new research in Out(F_n), in Teichmuller theory, and in overlaps between these two topics. Activities that continued throughout the workshop and conference included informal mathematical discussions. The people taking part in these activities ranged from beginning graduate students just learning the basics of the subject, to advanced graduate students and postdocs presenting their first research, to some of the most influential world experts.* This included in particular a healthy proportion of the community of Out(F_n) students and researchers from the United States, as well as from other countries.
Perhaps the most immediate outcome is the spread of knowledge and the formation of new collaborations amongst this community. Longer term outcomes are more difficult to assess, but we expect that they will translate into a new infusion of interest and expertise in the subject, continuing formation of new collaborations, and the emergence of new research for a number of years to come. Another quantifiable outcome, one year after the conference, is that several lecturers have completed new research papers based on cutting edge lectures given during the conference.*
* For lists, see the Final Report.
Last Modified: 08/23/2014
Modified by: Lee Mosher
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