Skip to content

Commit 04c21ea

Browse files
CBirkbeckclaude
andcommitted
feat(roadmap): add Modular Forms — Hecke theory, newforms, and L-functions
Grounded successor to the closed #36: keeps the classical arithmetic theory (nebentypus → valence formula → Hecke algebra → Petersson → newforms → strong multiplicity one → Atkin–Lehner/Fricke → L-functions → coefficient field is a number field → LMFDB invariants); recasts the modular curve as the analytic quotient Γ\ℍ with the dimension formulas by the valence route; and cuts the geometric summit (Katz–Mazur moduli, algebraic Riemann–Roch, the GAGA bridge, Galois representations, Jacobians) as out-of-scope for their own future roadmaps. Layer 2 keeps the abstract double-coset Hecke ring and explains its adelic specialization (the Shimura ↔ C_c(K\G/K) link), with the adelic construction itself flagged as a future roadmap. Targets.lean keeps the four concrete dimension instances and drops the two false free-parameter schemas. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
1 parent 3f074e1 commit 04c21ea

3 files changed

Lines changed: 536 additions & 0 deletions

File tree

README.md

Lines changed: 1 addition & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -24,6 +24,7 @@ industry groups.
2424
10. [One-parameter semigroups, completely monotone functions, and BCR Bochner](TauCetiRoadmap/OneParameterSemigroups/README.md)
2525
11. [Exchangeability and de Finetti](TauCetiRoadmap/Exchangeability/README.md)
2626
12. [Weighted orthogonal L² bases: completeness, Hilbert bases, and products of orthogonal systems](TauCetiRoadmap/OrthogonalL2Bases/README.md)
27+
13. [Modular forms — Hecke theory, newforms, and L-functions](TauCetiRoadmap/ModularForms/README.md)
2728

2829
## Writing a roadmap
2930

0 commit comments

Comments
 (0)