## February 2023

### Daniele Agostini, The Martens-Mumford Theorem and the Green-Lazarsfeld Secant Conjecture

B266 IBS

Speaker Daniele Agostini Eberhard Karls Universität Tübingen The syzygies of a curve are the algebraic relation amongst the equation defining it. They are an algebraic concept but they have surprising applications to geometry. For example, the Green-Lazarsfeld secant conjecture predicts that the syzygies of a curve of sufficiently high degree are controlled by