Loading Events

« All Events

  • This event has passed.

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

February 7, 2023 @ 11:00 am - 12:00 pm KST

B266, IBS Korea, Republic of


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 its special secants. We prove this conjecture for all curves of Clifford index at least two and not bielliptic and for all line bundles of a certain degree. Our proof is based on a classic result of Martens and Mumford on Brill-Noether varieties and on a simple vanishing criterion that comes from the interpretation of syzygies through symmetric products of curves.


February 7, 2023
11:00 am - 12:00 pm KST
Event Category:
Event Tags:


IBS Korea, Republic of


Dongseon Hwang
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
Copyright © IBS 2020. All rights reserved.