An interesting problem with automorphic forms is counting the number of automorphic representations with a given weight and level. For the level one case, this is solved by Chenevier-Taïbi-Renard for many classical groups with small ranks and also a compact G_2-type group. In this talk, I will explain my recent work on this problem for a compact F_4-type group, particularly emphasizing a specific family of representations related to modular forms via “exceptional (weighted) theta series”.
Automorphic forms of F_4 and exceptional theta series
26.11.2024 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location: