A functional equation proposed by this mathematician that involves mapping s to “n minus s” follows as a result of Poincaré duality on smooth varieties. This mathematician names the minimal projective unitary representation of the metaplectic (-5[1])group. This mathematician proved that the rational points of [emphasize] any abelian variety over Q form a finitely-generated group, extending Mordell’s (15[2])theorem. Étale cohomology was developed (-5[1])by Grothendieck to prove a set of (*) conjectures by this mathematician, which included the Riemann hypothesis for varieties over finite fields. This co-leader of the Bourbaki (-5[1])group described a “Rosetta stone” for math in a letter written to his (10[2])sister while jailed (10[1])in 1940 for refusing to join the French army. For 10 points, name this (10[1])mathematician whose namesake (-5[1])conjectures set the research program for modern (-5[2])algebraic geometry. (0[4])■END■