Non-free Curves and Geometric Manin's Conjecture - Lecture

Explore the intricacies of non-free curves and their role in Geometric Manin's Conjecture in this hour-long lecture by Eric Riedl from the University of Notre Dame. Delivered at the AGNES 2023 conference at Stony Brook University, delve into the study of varieties through the examination of curves, with a particular focus on the challenging aspects of non-free curves. Learn about the geometric classification of non-free curve families and their connection to a-covers in Fano fibrations. Discover how this research supports Batyrev's heuristics for Geometric Manin's Conjecture and provides evidence for characterizing the thin set in Manin's Conjecture. Gain insights into joint work with Brian Lehmann and Sho Tanimoto, advancing understanding in algebraic geometry.