Explore the intricacies of unique continuation through natural boundaries using resurgence in this 55-minute lecture by Ovidiu Costin at the Galileo Galilei Institute. Delve into advanced mathematical concepts as Costin presents his research on the application of resurgence theory to solve problems related to natural boundaries in complex analysis. Gain insights into the innovative techniques used to extend analytic functions beyond their traditional domains and understand the implications for various fields of mathematics and physics.