Project Grant 2401309

Award Date 9/1/24
Completion Date 8/31/27
Dollars Obligated $133K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Chestnut Hill, Newton, MA, USA
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This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $133,334 to Boston College to conduct collaborative research on periods and functorial transfer-symmetries in mathematics and physics.

The key products and services to be delivered under this 3-year award (9/1/2024 - 8/31/2027) include:

  • Studying the Langlands and relative Langlands programs, and extending them to new situations
  • Establishing a new Shimura correspondence detected by a period involving a theta function, by developing a suitable relative trace formula
  • Studying periods for the discrete, non-cuspidal spectrum, and endoscopic lifts and periods, in collaboration with Ginzburg
  • Contributing to graduate student training through seminars and other collaborative efforts

This research aims to provide new insights into the periods of automorphic forms and advance the understanding of relative trace formulas, complementing recent progress in the relative Langlands program and broadening the scope to include covering groups.

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