| NSF Org: |
DMS Division Of Mathematical Sciences |
| Recipient: |
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| Initial Amendment Date: | April 16, 2024 |
| Latest Amendment Date: | April 16, 2024 |
| Award Number: | 2401514 |
| Award Instrument: | Continuing Grant |
| Program Manager: |
James Matthew Douglass
mdouglas@nsf.gov (703)292-2467 DMS Division Of Mathematical Sciences MPS Directorate for Mathematical and Physical Sciences |
| Start Date: | July 1, 2024 |
| End Date: | June 30, 2027 (Estimated) |
| Total Intended Award Amount: | $298,659.00 |
| Total Awarded Amount to Date: | $149,329.00 |
| Funds Obligated to Date: |
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| History of Investigator: |
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| Recipient Sponsored Research Office: |
202 HIMES HALL BATON ROUGE LA US 70803-0001 (225)578-2760 |
| Sponsor Congressional District: |
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| Primary Place of Performance: |
202 HIMES HALL BATON ROUGE LA US 70803-0001 |
| 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): |
ALGEBRA,NUMBER THEORY,AND COM, EPSCoR Co-Funding |
| Primary Program Source: |
01002526DB NSF RESEARCH & RELATED ACTIVIT |
| 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, 47.083 |
ABSTRACT
Geometric representation theory studies the algebraic structures formed by symmetries of geometric objects. It has connections with many areas of algebra and geometry, including algebraic combinatorics, algebraic geometry, mathematical physics, and symplectic geometry. The present project will explore this rich interplay by developing new representation-theoretic objects in algebraic and symplectic geometry. It will also provide research training opportunities for graduate students.
In more detail, the project will focus on three interrelated problems. The first project is to introduce a new class of additive analogues of spherical varieties, constructed using degenerations motivated by the theory of Poisson-Lie groups. The second is to explore matroid Schubert varieties and their connections to toric geometry. The third is to develop new connections between Poisson geometry and symplectic representation theory by studying groupoids associated to symplectic resolutions. This project is jointly funded by the Algebra and Number Theory program and the Established Program to Stimulate Competitive Research (EPSCoR).
This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
Please report errors in award information by writing to: awardsearch@nsf.gov.
