If someone says, "You have peaked my interest!" what does that mean to you?

Regardless of the word the meaning of the sentence is, that your level of interest has been raised higher than normal because of something the other person said/did.
You said or did something that interasted that person.
that they have made you very curious
That all depends what you where talking about. If there was no subject when the person said that, than that means they are interested in YOU!
He/She feels curious about something you mentioned and wants to find out more.

Invest in an IDIOM dictionary or find a go website to help you.
That you have gotten their attention, that they are interested
you did or said something that they liked.
I think the word you are thinking of is "piqued" which means to excite or arouse especially by a provocation, challenge or rebuff. In other words "You have aroused my interest!"
Hope this helps. Many people confuse the 2 words. It is pronounced the same way.
Wicked Momma beat me to it --- the word is "piqued".
The word is not, in fact, peaked. It's piqued, as in, "You've piqued my interest."

Pique is a word from the French "piquer," meaning, literally, to prick.

Merriam-Webster has this to say:
1 : to arouse anger or resentment in : IRRITATE <what piques linguistic conservatives -- T. H. Middleton>
2 a : to excite or arouse especially by a provocation, challenge, or rebuff <sly remarks to pique their curiosity> b : PRIDE <he piques himself on his skill as a cook>

Personally, I think the second definition applies best here. If someone "piques my interest," they've done something that excites or challenges my interest.
they are more interested than ever before

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