| In the study of elliptic curves and modular forms, non-ordinary primes often add extra difficulties. Thanks to the Kobayashi-Perrin-Riou construction of the plus/minus universal norms, we have a reasonable Iwasawa theoretical tool to study the Selmer groups of elliptic curves for supersingular primes. We will discuss the proof of the parity conjecture of elliptic curves for supersingular primes and possible developments for modular forms of higher weights. |