Tyler Robinson -- the 22-year-old Utah native charged with murdering conservative pundit Charlie Kirk -- just went in front of a judge for the first time ... and he was stone-faced.

Robinson appeared via video call for court hearing Tuesday in Utah ... staring blankly ahead as a judge rattled off the charges against him.

Earlier Tuesday, Robinson was officially charged with aggravated murder ... and prosecutors said they would seek the death penalty. The only time Robinson appeared to show any life in court was when capital punishment was mentioned. Document Launch Doc

Prosecutors released a trove of evidence they say proves Robinson was Kirk's killer ... including text messages between Robinson and his roommate/partner, where Robinson confessed to shooting Kirk, said he'd pl

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