Explore an advanced lecture on symplectic geometry focusing on mirrors of curves and their Fukaya categories. Delivered by Denis Auroux from Harvard University as part of the IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry series, this talk delves into complex mathematical concepts. Begin with an introduction to monomial examples before progressing to discussions on compactification variety and critical locus. Examine the works of Jeff Koons in relation to associative and conjectural aspects of the topic. Investigate monomial admissibility, coordinates, and Lagrangian admissibility, concluding with a practical example to solidify understanding of these intricate mathematical principles.