On the P-Curvature of Quantum Connections of Calabi-Yau Threefolds

Explore the p-curvature of quantum connections in Calabi-Yau threefolds through this mathematical seminar from Harvard's Center of Mathematical Sciences and Applications. Learn how the small quantum connection of Calabi-Yau varieties possesses integral coefficients that allow for reduction modulo a prime number p, and discover the fundamental role of p-curvature as an invariant for flat connections over characteristic p fields. Understand the identification of p-curvature with quantum Steenrod operations for compact Calabi-Yau threefolds, providing a modular framework for describing p-curvature in this geometric context. Examine the connections to BPS invariants and their significance within mirror symmetry theory, gaining insights into how these mathematical structures relate to quantum field theory and algebraic differential equations.