Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
harmonic analysis
automorphic representations |
| gptkbp:describes |
relationship between geometric and spectral data
|
| gptkbp:field |
gptkb:mathematics
number theory representation theory automorphic forms |
| gptkbp:firstAppearance |
1956
|
| gptkbp:generalizes |
gptkb:James_Arthur
|
| https://www.w3.org/2000/01/rdf-schema#label |
Trace formula
|
| gptkbp:notableExample |
gptkb:Selberg_trace_formula
gptkb:Arthur–Selberg_trace_formula |
| gptkbp:originatedIn |
gptkb:Atle_Selberg
|
| gptkbp:relatedTo |
modular forms
representation theory of Lie groups spectral theory eigenvalues trace of an operator |
| gptkbp:usedFor |
proving cases of the Langlands program
studying automorphic forms studying spectra of Laplacians |
| gptkbp:usedIn |
gptkb:Langlands_program
arithmetic geometry modern number theory analysis on locally symmetric spaces |
| gptkbp:bfsParent |
gptkb:Langlands_program
|
| gptkbp:bfsLayer |
5
|