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There are various good articles and examples trying to explain the logic behind Zero Knowledge Proofs (ZKP). If you are not familiar with the concept, the notion of ZKP is that" a Prover wants to convince a Verifier that a statement is true without revealing any further information". And if this is not enough for you to understand why a ZKP is so important and what are its potential applications, a picture is worth a thousand words:

It's amazing that ZKP was initially proposed 30 years ago by MIT researchers Shafi Goldwasser, Silvio Micali and Charles Rackoff and as with many breakthrough ideas, their original paper was rejected a couple of times... and then they won the Gödel Prize. We should also highlight that Goldwasser and Micali recently received the ACM Turing Award for their pioneering work in the field of provable security and interactive proofs, which laid the mathematical foundations that made modern cryptography possible.