Your monitor has D-sub / DVI-DL / HDMI1.4x2 / DP1.2 / Mic in inputs.
HDMI 1.4 increases the maximum resolution to 4K × 2K, i.e. 4096×2160 at 24 Hz (which is a resolution used with digital theaters) or 3840×2160 (Ultra HD) at 24 Hz/25 Hz/30 Hz;
If you had 2.0 you'd be fine - it runs at twice the speed. Try a Display Port cable to one of your DP ports on the gtx.