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Understanding how QSO's UV radiation affects galaxy formation is vital to ourunderstanding of reionization era. Using a custom made narrow-band filter,$NB906$, on Subaru/Suprime-Cam, we investigated the number density ofLy$\alpha$ emitters (LAE) around a QSO at z=6.4. To date, this is the highestredshift narrow-band observation, where LAEs around a luminous QSO areinvestigated. Due to the large field-of-view of Suprime-Cam, our survey area is$\sim$5400~cMpc$^2$, much larger than previously studies at z=5.7 ($\sim$200cMpc$^2$). In this field, we previously found a factor of 7 overdensity ofLyman break galaxies (LBGs). Based on this, we expected to detect $\sim$100LAEs down to $NB906$=25 ABmag. However, our 6.4 hour exposure found none. Theobtained upper limit on the number density of LAEs is more than an order lowerthan the blank fields. Furthermore, this lower density of LAEs spans a largescale of 10 $p$Mpc across. A simple argument suggests a strong UV radiationfrom the QSO can suppress star-formation in halos with$M_{vir}<10^{10}M_{\odot}$ within a $p$Mpc from the QSO, but the deficit at theedge of the field (5 $p$Mpc) remains to be explained.

No Ly$\alpha$ emitters detected around a QSO at z=6.4: Suppressed by the QSO?