It says on the internet that this monitor is HDR capable. Now I asked Intel whether my graphics card is capable of HDR in order to transfer it. There it came out that my monitor is not HDR capable. We found it out under dxdiag on my laptop.
The monitor is HDR10 certified. The HDR mode in Windows should be able to be activated with the monitor.
With the little information you have given, I think it is for another reason.
Your monitor has a 3440 * 1440 pixel resolution, a 100Hz refresh rate and a color depth of 10bit (with HDR). This is some data that needs to be transferred.
As you communicated, you have a laptop with an Intel iGPU. Even in the best case with a current i9-10885H (Mobile), which you probably won't have, there's only one HDMI 1.4 port. The standard allows 4k @ 30 or 1440p @ 60 (in 16: 9 format). This applies to a regular color depth of 8 bit.
The supported DisplayPort standard can transmit more data. This includes e.g. 4k @ 60. Nevertheless, the bandwidth is still too small for all features. Many laptops also do not offer a DisplayPort or Type-C port. The advantages of DP can't be used.
Your monitor is overkill for your laptop. You can't use all features. You won't even be able to use the native resolution at 60Hz.
If you lower the resolution and frame rate, you might be able to enable HDR. With the limitations, I would prefer not to use HDR.
Okay I have a USB Type C on my laptop and I think it supports DP 1.2
