The facts and details need to be parsed out here. It is hard to tell exactly what the circumstances are based solely on what is written here....

You are free to use another's trademark descriptively in text to refer to that mark holder. This is called "nominative fair use" and the classic...

Are you already registered in the US or elsewhere? Before you invest in any trademark of your own make sure you get some legal guidance...

There is no "one way" to handle it. How you approach this depends on how much faith you have in the project. The more faith you have, the more you...

Trademark speaks to branding and copyright speaks to creative expression. Any creative expression will be covered by copyright law...

As noted, this can be actionable but of course the context matters.

Company wants me to sign patent agreement?

As noted, in most cases, these agreements speak only to inventions and IP developed as part of your employment or that which was created on company...

Unless you are drawing some false association between your business and the show then this is likely not a concern, but the mark in general still...

Can I claim "fair use?"

Assuming that there is an educational component to your platform does not mean that it is not a fair use of their IP. Further, fair use is a legal...

My colleague pointed to some of the concerns here. It is a very fact intensive analysis and we just do not have all the details here to do it...