Background on automorphic forms -- On Artin's conjecture Lifting automorphic forms of PGSp(2) to PGL(4). Preliminaries -- basic facts -- Trace formulae -- Lifting from SO(4) to PGL(4) -- Lifting from PGSp(2) to PGL(4) -- Fundamental lemma Zeta functions of Shimura varieties of…
The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms. A guiding principle is a reciprocity law relating infinite dimensional automorphic representations with finite dimensional Galois repre…