Award Abstract # 2344680
Conference: Tensor Invariants in Geometry and Complexity Theory

NSF Org: DMS
Division Of Mathematical Sciences
Recipient: AUBURN UNIVERSITY
Initial Amendment Date: February 20, 2024
Latest Amendment Date: February 20, 2024
Award Number: 2344680
Award Instrument: Standard Grant
Program Manager: James Matthew Douglass
mdouglas@nsf.gov
 (703)292-2467
DMS
 Division Of Mathematical Sciences
MPS
 Direct For Mathematical & Physical Scien
Start Date: March 15, 2024
End Date: February 28, 2025 (Estimated)
Total Intended Award Amount: $40,000.00
Total Awarded Amount to Date: $40,000.00
Funds Obligated to Date: FY 2024 = $40,000.00
History of Investigator:
  • Luke Oeding (Principal Investigator)
    oeding@auburn.edu
Recipient Sponsored Research Office: Auburn University
321-A INGRAM HALL
AUBURN
AL  US  36849-0001
(334)844-4438
Sponsor Congressional District: 03
Primary Place of Performance: Auburn University
321-A INGRAM HALL
AUBURN
AL  US  36849-0001
Primary Place of Performance
Congressional District:
03
Unique Entity Identifier (UEI): DMQNDJDHTDG4
Parent UEI:
NSF Program(s): ALGEBRA,NUMBER THEORY,AND COM,
GEOMETRIC ANALYSIS,
Algorithmic Foundations
Primary Program Source: 01002425DB NSF RESEARCH & RELATED ACTIVIT
Program Reference Code(s): 7556, 9150
Program Element Code(s): 126400, 126500, 779600
Award Agency Code: 4900
Fund Agency Code: 4900
Assistance Listing Number(s): 47.049, 47.070

ABSTRACT

The conference Tensor Invariants in Geometry and Complexity Theory will take place May 13-17, 2024 at Auburn University. This conference aims to bring together early-career researchers and experts to study tensor invariants, their appearance in pure algebraic and differential geometry, and their application in Algebraic Complexity Theory and Quantum Information. The workshop will feature talks from both seasoned experts and promising young researchers. The event is designed to facilitate new research connections and to initiate new collaborations. The conference will expose the participants to state-of-the-art research results that touch a variety of scientific disciplines. The activities will support further development of both pure mathematics and the "down-stream" applications in each area of scientific focus (Algebraic and Differential Geometry, Algebraic Complexity, Quantum Information).

The conference is centered on invariants in geometry, divided into three themes: Algebraic and Differential Geometry, Tensors and Complexity, and Quantum Computing and Quantum Information. Geometry has long been a cornerstone of mathematics, and invariants are the linchpins. Regarding Algebraic and Differential Geometry, the organizers are inviting expert speakers on topics such as the connections between projective and differential geometry. Considerations in these areas, such as questions about dimensions and defining equations of secant varieties, have led to powerful tools both within geometry and applications in areas such as computational complexity and quantum information. Likewise, the organizers are inviting application-area experts in Algebraic Complexity and Quantum Information. This natural juxtaposition of pure and applied mathematics will lead to new and interesting connections and help initiate new research collaborations. In addition to daily talks by seasoned experts, the conference will include young researchers in a Poster Session and provide networking opportunities, including working group activities, to help early career researchers meet others in the field, which will provide opportunities for new (and ongoing) research collaborations. It is anticipated that these collaborations will continue long after the meeting is over. The conference webpage is: https://webhome.auburn.edu/~lao0004/jmlConference.html.

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.

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