Does talking about exes make your significant other mad? Should it?

I would like to tell my girlfriend about ex girlfriends and what I learned through the relationships.

When I pass by places exes and me have interacted I bring it up to start talking about them but my current girlfriend doesn't like hearing about it. Is that normal jealousy and will she get over it because I'd like for her to know about my exes
Does talking about exes make your significant other mad? Should it?
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