Explore a groundbreaking lecture on homological mirror symmetry and its applications to quantum link invariants. Delve into a new family of homological mirror pairs that offer unprecedented clarity in understanding homological mirror symmetry. Discover how these pairs categorify braid group representations derived from quantum groups. Gain insights into the categorification of quantum link invariants as a practical application of this theoretical framework. Join Mina Aganagic from UC Berkeley as she presents this cutting-edge research in a comprehensive 1-hour and 4-minute talk at the Institut des Hautes Etudes Scientifiques (IHES). Enhance your understanding of advanced mathematical concepts and their intersections with quantum physics in this illuminating presentation.