The Gonality Sequence of a Smooth Projective Curve and Syzygies of Secant Varieties

Explore the intricate relationship between the gonality sequence of smooth projective curves and the syzygies of their associated secant varieties in this 59-minute conference talk. Delve into advanced algebraic geometry concepts as the speaker examines how gonality sequences, which measure the degrees of rational maps from curves to projective lines, connect to the syzygy modules that arise in the study of secant varieties. Learn about the computational and theoretical aspects of these mathematical structures, including their applications in understanding the geometric properties of curves and their embeddings in projective space. Gain insights into current research developments in this specialized area of algebraic geometry, presented as part of the ICBS2025 conference series hosted by BIMSA.