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In the first part of the talk, I will introduce black-hole microstates in string theory and the Fuzzball proposal. In the second part, I will present some new results (based on 2211.14326 and 2202.08844) indicating the existence of horizonless solutions accounting for a finite fraction of the entropy of the three-charge black hole.
The talk is designed to be mainly non-technical, so that non-string-theorists are also very welcome to join.