https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
Lecturer 박진형
Dept. KAIST
date May 18, 2023

 

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.

 

Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia 학부생을 위한 강연회: Tipping Point Analysis and Influence Maximization in Social Networks file KAIST 정교민
Math Colloquia Connectedness of a zero-level set as a geometric estimate for parabolic PDEs file KAIST 김용정
Math Colloquia Normal form reduction for unconditional well-posedness of canonical dispersive equations file KAIST 권순식
Math Colloquia Essential dimension of simple algebras file KAIST 백상훈
Math Colloquia <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여 file KAIST 엄상일
Math Colloquia 학부생을위한ε강연: 수학자는 왜 선망되는 직업일까? file KAIST 김동수
Math Colloquia The process of mathematical modelling for complex and stochastic biological systems file KAIST 김재경
Math Colloquia On function field and smooth specialization of a hypersurface in the projective space file KAIST 이용남
Math Colloquia Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications file KAIST 신연종
Math Colloquia Equations defining algebraic curves and their tangent and secant varieties file KAIST 박진형
Math Colloquia Universality of log-correlated fields file KAIST 남경식
Math Colloquia Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
Math Colloquia Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
Math Colloquia The phase retrieval problem file Hong Kong University of Science and Technology Yang Wang
Math Colloquia Convex and non-convex optimization methods in image processing file Hong Kong Baptist University Michael Ng
Math Colloquia Creation of concepts for prediction models and quantitative trading file Haafor 이승환
Math Colloquia Topological aspects in the theory of aperiodic solids and tiling spaces file Georgia Institute of Technology, School of Mathematics and School of Physics Jean V. Bellissard
Math Colloquia Quantum Dynamics in the Mean-Field and Semiclassical Regime file Ecole Polytechnique Francoise Golse
Math Colloquia Entropies on covers of compact manifolds file CNRS (France) François Ledrappier
Math Colloquia Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 Next
/ 12