你的名字刻在我的脑子里
[nĭ de míng zì kè zài wŏ de năo zi lĭ]
This phrase '你的名字刻在我的脑子里' (your name is engraved in my brain) expresses a deep memory, suggesting the person will never forget you because of significant experiences or influence you've had on them, akin to having your name carved into their memory permanently.