The formal degree conjecture, due to Hiraga, Ichino and Ikeda, expresses the formal degree of a discrete serie on a real or p-adic reductive group in terms of its (enhanced) Langlands parameter essentially through its adjoint gamma factor. For real groups this can be deduced from the work of Harish-Chandra whereas for p-adic classical groups, this conjecture has been established for odd orthogonal and unitary groups by two completely different methods. In this talk, I plan to explain another approach for even orthogonal and symplectic groups that can actually also be adapted to unitary or odd orthogonal groups. It is based on the theory of twisted endoscopy as well as standard notions in harmonic analysis (orbital integrals and Plancherel formulas) and builds on previous ideas of Shahidi and Hiraga-Ichino-Ikeda.
On the formal degree conjecture for classical groups
24.10.2023 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location: