| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
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| Initial Amendment Date: | January 12, 2017 |
| Latest Amendment Date: | January 12, 2017 |
| Award Number: | 1702102 |
| Award Instrument: | Standard Grant |
| Program Manager: |
Swatee Naik
snaik@nsf.gov (703)292-4876 DMS Division Of Mathematical Sciences MPS Directorate for Mathematical and Physical Sciences |
| Start Date: | February 1, 2017 |
| End Date: | January 31, 2018 (Estimated) |
| Total Intended Award Amount: | $27,606.00 |
| Total Awarded Amount to Date: | $27,606.00 |
| Funds Obligated to Date: |
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| History of Investigator: |
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| Recipient Sponsored Research Office: |
1125 W MAPLE ST STE 316 FAYETTEVILLE AR US 72701-3124 (479)575-3845 |
| Sponsor Congressional District: |
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| Primary Place of Performance: |
AR US 72701-1201 |
| 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
This NSF award will provide partial support for speakers and participants of two meetings in the Redbud Geometry/Topology Conference series. The first meeting will take place at the University of Arkansas, in Fayetteville, Arkansas on April 27-29, 2017. The fall meeting will be held at the University of Oklahoma in Norman, Oklahoma in fall of 2017. A key objective of the Redbud Conference series is to increase interaction and collaboration between geometers and topologists in the EPSCoR states of Arkansas and Oklahoma. These meetings continue the series of Redbud Conferences held twice per year beginning in Fall 2011 on a rotating basis at the University of Arkansas, Oklahoma State University, and the University of Oklahoma. The mathematical focus of the spring meeting in 2017 is geometric group theory and low dimensional topology. The opening day of the spring meeting is a graduate student workshop featuring three talks of an expository nature delivered by speakers from the conference. This gives graduate students from the Arkansas-Oklahoma region the opportunity to interact with the larger mathematical community. The fall meeting is intended to showcase the work of graduate students, postdoctoral scholars, and junior faculty from the region.
The specific focus of each meetings is as follows. The spring meeting will feature ten talks on geometric group theory and low dimensional topology. These are areas of intense research that utilize the interaction between the dynamics of group actions and the geometry of the spaces they act on to understand algebraic structure. Specific topics to be included are the outer automorphism group of a free group or a right-angled Artin group, the mapping class group of a surface and hyperbolic geometry. The fall meeting will feature five talks primarily by early-career mathematicians on a range of topics in topology and geometric group theory, based around the research interests of faculty at the three schools. The organizers will post notes and/or slides from the talks on the conference website. The conference website is comp.uark.edu/~mattclay/Redbud/
PROJECT OUTCOMES REPORT
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 Spring Redbud Topology Conference was held April 27–29, 2017 on the campus of the University of Arkansas in Fayetteville, Arkansas. The first day featured three educational talks aimed at graduate students on topics that would be featured during the confernce.
- Shapes of balls in 2-step nilpotent groups (Hannah Alpert)
- Hyperbolic manifolds, fibered faces, and subsurfaces projections (Sam Taylor)
- Outer automorphism groups of right-angled Artin groups (Andrew Sale)
The remaining two days featured ten talks on recent advances in geometric group theory and low dimensional topology.
- The boundary of the free splitting graph (Mark Feighn)
- Counting lattice points in Thurston's asymmetric metric on Teichmüller space (Kasra Rafi)
- Algebraic and topological properties of big mapping class groups (Priyam Patel)
- Can arbitrarily many segments of a fixed length spin independently in the disk? (Hannah Alpert)
- Veering triangulations and fibiered faces of 3–manifolds (Sam Taylor)
- Boundary amenability of Out(Fn) (Vincent Guirardel)
- Nilpotent geometryin the semi-large (Moon Duchin)
- A polynomial time algorithm for detecting fully irreducible automorphisms (Ilya Kapovich)
- The outer automorphism group of a right-angled Coxeter group is either large or virtually abelian (Andrew Sale)
- The primitive Burnside problem (Khalid Bou-Rabee)
The grant supported participation at the conference. Specifically, the grant provided travel assistence for the ten speakers (4 of which are junior level researchers) and thirty-five other non-local participants (22 of which were students and 5 of which are junior level researchers).
The conference webpage is located at:
http://comp.uark.edu/~mattclay/Redbud/spring2017.html
The Fall Redbud Topology Conference was held November 18, 2017 on the campus of the University of Oklahoma in Norman, Oklahoma. The conference enabled collaboration by mathematicians in the Arkansas/Oklahoma region and featured five talks by local researchers.
- Tessellations of two higher Teichmüller spaces (Robert Haraway)
- Admitting an S3 filling is NP-hard. (Yo'av Rieck)
- Finite covers of surfaces and simple closed curves (Justin Malestein)
- Stable commutator length in two-dimensional right-angled Artin groups (Ignat Soroko)
- Hyperbolic 3–manifolds not admitting fillable contact structures (Amey Katoli)
The grant provided travel assistence for the thirteen non-local participants from Oklahoma State University and the University of Arkansas.
The conference webpage is located at:
http://www.math.ou.edu/redbud/fall-2017/schedule.html
Last Modified: 02/19/2018
Modified by: Matt Clay
Please report errors in award information by writing to: awardsearch@nsf.gov.
