# Equations defining algebraic curves and their tangent and secant varieties

강연자 박진형 KAIST 2023-05-18

It is a fundamental problem in algebraic geometry to study equations defining algebraic curves. In 1984, Mark Green formulated a famous conjecture on equations defining canonical curves and their syzygies. In early 2000's, Claire Voisin made a major breakthrough by proving that Green's conjecture holds for general curves. A few years ago, Aprodu-Farkas-Papadima-Raicu-Weyman gave a new proof of Voisin's theorem by studying equations defining tangent developable surfaces, and recently, I obtained a simple geometric proof of their result using equations defining secant varieties. In this talk, I first review the geometry of algebraic curves, and then, I explain the main ideas underlying the recent work on syzygies of algebraic curves and their tangent and secant varieties.

 제목+내용제목내용댓글이름닉네임태그
1. Structural stability of meandering-hyperbolic group actions

2. Regularity for non-uniformly elliptic problems

3. From mirror symmetry to enumerative geometry

4. Universality of log-correlated fields

5. <학부생을 위한 ɛ 강연> 양자상태의 기하학

6. Class field theory for 3-dimensional foliated dynamical systems

7. Satellite operators on knot concordance

8. <정년퇴임 기념강연> 작용소대수와 양자정보이론

9. Entropy of symplectic automorphisms

10. 24May
by 김수현
in 수학강연회

Equations defining algebraic curves and their tangent and secant varieties

11. Descent in derived algebraic geometry

12. Toward bridging a connection between machine learning and applied mathematics

13. Vlasov-Maxwell equations and the Dynamics of Plasmas

14. Study stochastic biochemical systems via their underlying network structures

15. <학부생을 위한 ɛ 강연> 복잡한 생명현상을 위한 21세기 현미경, 수학!

16. Birational Geometry of varieties with effective anti-canonical divisors

17. Contact instantons and entanglement of Legendrian links

18. <학부생을 위한 ɛ 강연> Self-Supervised Learning in Computer Vision

19. <학부생을 위한 강연> 수학과 보험산업

20. Counting number fields and its applications

Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 Next
/ 12