Honestly, I don't see what the big deal is. I actually think it's a good thing. They're not asking for which hotel you're going to be at, which flight you'll be on, or anything like that, just basic information. If something were to happen to you, they would be able to get in touch with family or friends back home.
If your boss doesn't ask for this information, I think you should give someone (at work, or a friend) information about where you're going and when, as well as an emergency contact. If it's a friend, you might want to give them more details, such as flight info and hotel info. Finally, you might be able to register with your embassy so they can help you if you need help.
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