Jae Hee Lee of Stanford University presents a research seminar talk at the joint IAS/Princeton University Symplectic Geometry Seminar on the arithmetic structure of quantum connections. The quantum connection is a flat connection built from genus 0 Gromov-Witten theory, and Lee explains how it can be defined integrally for sufficiently positive symplectic manifolds, yielding characteristic p and p-adic versions that resemble Gauss-Manin connections from arithmetic geometry. The talk centers on Calabi-Yau 3-folds, laying out the arithmetic aspects of the quantum connection with particular attention to quantum power operations and the Frobenius structures they induce. The work is joint with Shaoyun Bai and Daniel Pomerleano. Delivered at Simonyi Hall as a specialist research seminar, this is advanced material aimed at mathematicians already fluent in symplectic geometry and Gromov-Witten invariants rather than a general audience introduction.