This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research on the p-adic aspects of the Langlands program, a fundamental area of number theory that relates algebraic number theory to the theory of automorphic forms. The $210,000 award to the University of Chicago will fund investigations into constructing a categorical p-adic local Langlands correspondence, p-adic interpolation of the trace formula, and the study of prismatic cohomology and global-to-local restriction maps. The research aims to extend the known range of validity of the p-adic local Langlands correspondence, a powerful tool for establishing relationships between algebraic number theory and the theory of automorphic forms. The project will also provide research training opportunities for graduate students and develop new mathematical methods integrating algebraic, geometric, and representation-theoretic techniques. No sub-awards are planned under this grant.
Mod # | Description | Reason For Modification | Federal Obligation (Click to sort descending) | Date (Click to sort ascending) |
|---|---|---|---|---|
| Not listed | $210.0k | 7/14/25 |