We report a search for z=7 Ly \alpha emitters ( LAEs ) using a custom-made Narrow-Band filter , centered at 9755Å with the instrument Suprime-Cam installed at the Subaru telescope .
We observed two different fields and obtained two sample of 7 Ly \alpha emitters of which 4 are robust in each field .
We are covering the luminosity range of 9.10 ^ { 42 } -2.10 ^ { 43 } \mathrm { erg } \mathrm { s } ^ { -1 } in comoving volumes of \sim 4 \times 10 ^ { 5 } \textrm { and } 4.3 \times 10 ^ { 5 } Mpc ^ { 3 } . From this result , we derived possible z \sim 7 Ly \alpha luminosity functions for the full samples and for a subsample of 4 objects in each field .
We do not observe , in each case , any strong evolution between the z=6.5 and z \sim 7 Ly \alpha luminosity functions .
Spectroscopic confirmation for these candidate samples is required to establish a definitive measure of the luminosity function at z \sim 7 .