Explore advanced concepts in quantum geometry through this lecture on quantum mirror symmetry for the conifold. Delve into open Gromov-Witten invariants for the conifold with a single Aganagic-Vafa brane, and discover how the generating series satisfies an operator equation given by a skein-valued quantization of the mirror curve. Learn about the recursion that can be solved explicitly for the series, and examine the relationship between colored HOMFLYPT polynomials and Gromov-Witten invariants. Presented by Vivek Shende from the University of California, Berkeley, this talk offers insights into joint work with Tobias Ekholm, providing a deep dive into cutting-edge research in quantum geometry and mirror symmetry.